{"id":4400,"date":"2021-11-23T19:00:46","date_gmt":"2021-11-23T19:00:46","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=4400"},"modified":"2021-11-25T13:18:11","modified_gmt":"2021-11-25T13:18:11","slug":"area-of-the-circular-ring-with-examples-and-faqs","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/","title":{"rendered":"Area of the circular ring – with Examples and FAQs"},"content":{"rendered":"

[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
\n” _builder_version=”4.13.1″ _module_preset=”default” header_font=”|700|||||||” header_text_align=”left” header_font_size=”50px” header_line_height=”1.18em” custom_padding=”|0px||4px|false|false” hover_enabled=”0″ header_font_size_tablet=”” header_font_size_phone=”35px” header_font_size_last_edited=”on|phone” global_colors_info=”{}” sticky_enabled=”0″]<\/p>\n

Area of the Circular Ring – with Examples and FAQs<\/h1>\n

[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” hover_enabled=”0″ global_colors_info=”{}” sticky_enabled=”0″]<\/p>\n

Area of a circular ring<\/b><\/h2>\n

Two concentric circles of different diameters form a circular ring (an annulus), which is a two-dimensional figure. For example, a washer’s top and bottom surfaces and the cross-section of a concrete pipe are examples of annuli. The annulus is the region between the two circles.<\/p>\n

\u00a0It is the coloured portion as shown in the figure:-<\/p>\n

\"\"<\/p>\n

 <\/p>\n

What is the area of the ring?<\/i><\/b><\/p>\n

We know the area of a circle is given by \u03c0(x)\u00b2, where ‘x’ is the radius of the given circle.\u00a0<\/span><\/p>\n

Radii R and r specify the dimensions<\/span> of the outer and inner circles respectively<\/span>.<\/span> To find the area of a circular ring, we can subtract the area of the inner circle from that of the outer circle.\u00a0<\/span><\/p>\n

For calculating the area of an annulus, use the following formula.<\/span><\/p>\n

Area of the circular ring (Annulus) = <\/span>A <\/span><\/i>= <\/span>\u03c0<\/span><\/i>(<\/span>R<\/span><\/i>\u00b2\ufe63<\/span>r<\/span><\/i>\u00b2)<\/span><\/p>\n

<\/span><\/p>\n

Derivation of the area of the ring<\/strong>
<\/span><\/p>\n

It is possible to find the area of the circular ring by measuring the area of the outer circle and the inner circle. To get the answer, we need to subtract the area of the inner circle from that of the outer circle<\/p>\n

We’ll use “R” for the outer circle’s radius and “r” for the inner circle’s radius.<\/p>\n

Therefore,<\/p>\n

Outer circle area =\\pi R^{2}<\/span>
<\/span><\/span><\/p>\n

Inner circle area =\\pi r^{2}<\/span><\/span><\/p>\n

In other words, the area of the annulus is the <\/span>difference between the areas of outer and inner circles.<\/span><\/p>\n

Hence, Its area is equivalent to:<\/span><\/p>\n

A r=A-a=\\pi R^{2}-\\pi r^{2}=\\pi\\left(R^{2}-r^{2}\\right)=\\pi(R-r)(R+r)<\/span><\/span><\/p>\n

<\/span>Where,\u00a0<\/p>\n

Ar = area of the circular ring,<\/span><\/i><\/p>\n

A = area of the outer circle,<\/span><\/i><\/p>\n

a\u00a0 = area of the inner circle.\u00a0<\/span><\/i><\/p>\n

 <\/p>\n

Examples<\/h2>\n

 <\/p>\n

1. A 14 cm broad path surrounds a circular lawn with a 360 cm diameter. Find the area of the path.(Use \u03c0 value of 22\/7)<\/span><\/h3>\n

Given:<\/span><\/p>\n

The radius of the inner circle (r) <\/span>= 180 cm<\/span><\/p>\n

Radius of outer circle (R) <\/span>=(180 + 14) = 194 cm<\/span><\/p>\n

\u2234<\/span> The area of path\u00a0 <\/span>= \ud835\udf0b(\ud835\udc45 \u2013 \ud835\udc5f)(\ud835\udc45 + \ud835\udc5f)<\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 = \\frac{22}{7}\\times (194 +180)(194-180)<\/span><\/span><\/p>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0=16456 \\mathrm{~cm}^{2}<\/span><\/span><\/p>\n

Hence the area of the path is 16456 cm\u00b2.<\/span><\/p>\n

<\/span><\/p>\n

2. A circular path has an outer diameter of 728 m and an inner diameter of 700 m. Find the circumference and the area of the circular path. (Use \u03c0 value of 22\/7)<\/span><\/h3>\n

A circular path has an outside <\/span>diameter of 728 m.<\/span><\/p>\n

Therefore, its radius (R) = (728\/2) = 364 m<\/span><\/p>\n

The inner diameter = 700 m<\/span><\/p>\n

Therefore, the inner radius (r) = (700\/2) = 350 <\/span>m.<\/span><\/span><\/p>\n

Hence, the circumference \/ breadth of the circular path is equal to (R – r) = 364 – 350 = 14m.\u00a0<\/span><\/p>\n

<\/span><\/p>\n

Circular path area (<\/span>\ud835\udc34)<\/span><\/i><\/p>\n

= <\/span>\ud835\udf0b<\/span><\/i>(R + r)(R – r)<\/span><\/i><\/span><\/p>\n

= 22\/7(364 + 350) (364 – 350)<\/span><\/span><\/p>\n

= (22\/7) x 714 x 14<\/span><\/p>\n

= ( 22 x 714 x 2 )<\/span><\/p>\n

This is equivalent to 31,416 m\u00b2.
<\/span><\/p>\n

In other words, the circular walkway has a surface area of 31416 m \u00b2.
<\/span><\/p>\n

 <\/p>\n

[\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\n

Explore Other Topics<\/h1>\n

[\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n

\n
Geometry<\/a><\/div>\n
Trigonometry<\/a><\/div>\n
Operations<\/a><\/div>\n
Numbers<\/a><\/div>\n<\/div>\n

[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”Row for space” _builder_version=”4.10.6″ _module_preset=”default” locked=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_divider show_divider=”off” _builder_version=”4.10.4″ _module_preset=”default” global_colors_info=”{}”][\/et_pb_divider][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=”1″ admin_label=”banner and faq Section” module_class=”mainsec2″ _builder_version=”4.10.4″ _module_preset=”default” custom_padding=”40px||0px||false|false” global_colors_info=”{}”][et_pb_row use_custom_gutter=”on” gutter_width=”1″ make_equal=”on” disabled_on=”on|on|off” admin_label=”banner Row” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fff7d6″ width=”100%” max_width=”1310px” height=”134px” custom_margin=”||50px||false|false” custom_padding=”12px||12px||true|false” border_radii=”on|11px|11px|11px|11px” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_image src=”https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png” title_text=”calloutImage” show_bottom_space=”off” admin_label=”Image” module_class=”img1″ _builder_version=”4.10.8″ _module_preset=”default” width=”25px” height=”60px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][et_pb_text module_class=”ftstyle” _builder_version=”4.9.10″ _module_preset=”default” text_orientation=”center” global_colors_info=”{}”]<\/p>\n

\n
\n
\n

Ready to get started ?<\/p>\n<\/div>\n

\n

Start Free Trial<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n

[\/et_pb_text][et_pb_image src=”https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/down-circle.png” title_text=”down-circle” show_bottom_space=”off” align=”right” module_class=”img2″ _builder_version=”4.9.10″ _module_preset=”default” width=”44px” height=”18px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”FAQ Row” _builder_version=”4.9.11″ _module_preset=”default” width=”100%” max_width=”1310px” custom_padding=”|40px||40px|false|true” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”FAQ” module_class=”faqstyl” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_font=”|700|||||||” header_text_align=”center” header_line_height=”2.5em” background_color=”#dbedc6″ max_width=”80%” module_alignment=”center” custom_margin=”||||false|false” custom_padding=”30px|25px|30px|25px|true|true” hover_enabled=”0″ border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” sticky_enabled=”0″]<\/p>\n

Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n
    <\/ol>\n

    1. How is the area of the circular ring determined?<\/strong><\/h3>\n

    Ans: <\/strong>Assuming a perfectly concentric circular ring:<\/span><\/p>\n

    Calculate the area of the inner circle by multiplying the radius of the inner circle squared by pi.<\/span><\/p>\n

    Calculate the area of the outer circle by multiplying the radius of the outer circle squared times pi.<\/p>\n

    Subtract the area of the inner circle from the area of the outer circle.<\/p>\n

    You now have the area of the ring itself.<\/strong><\/p>\n

     <\/p>\n

    2. What is the area of a circular ring?<\/strong><\/h3>\n

    Ans: <\/strong>A=\\pi\\left(R^{2}-r^{2}\\right)<\/span><\/p>\n

     <\/p>\n

    3. What is the area of a circular ring?<\/strong><\/h3>\n

    Ans: <\/strong>Consider there are two concentric circles (circles having the same centre) of different radii. The area in between the circles forms a circular ring<\/span>. It becomes a 2D figure.\u00a0<\/span><\/p>\n

     <\/p>\n

    [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

    Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1<\/p>\n","protected":false},"author":10,"featured_media":0,"parent":714,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"yoast_head":"\nArea of the circular ring - with Examples and FAQs - mydomain<\/title>\n<meta name=\"description\" content=\"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Area of the circular ring - with Examples and FAQs - mydomain\" \/>\n<meta property=\"og:description\" content=\"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1\" \/>\n<meta property=\"og:url\" content=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/\" \/>\n<meta property=\"og:site_name\" content=\"mydomain\" \/>\n<meta property=\"article:modified_time\" content=\"2021-11-25T13:18:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/eistudymaterial.s3.amazonaws.com\/a1.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website\",\"url\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/\",\"name\":\"mydomain\",\"description\":\"Just another WordPress site\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/eistudymaterial.s3.amazonaws.com\/a1.png\",\"contentUrl\":\"https:\/\/eistudymaterial.s3.amazonaws.com\/a1.png\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/#webpage\",\"url\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/\",\"name\":\"Area of the circular ring - with Examples and FAQs - mydomain\",\"isPartOf\":{\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/#primaryimage\"},\"datePublished\":\"2021-11-23T19:00:46+00:00\",\"dateModified\":\"2021-11-25T13:18:11+00:00\",\"description\":\"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1\",\"breadcrumb\":{\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Math Concepts\",\"item\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Area of the circular ring – with Examples and FAQs\"}]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Area of the circular ring - with Examples and FAQs - mydomain","description":"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/","og_locale":"en_US","og_type":"article","og_title":"Area of the circular ring - with Examples and FAQs - mydomain","og_description":"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1","og_url":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/","og_site_name":"mydomain","article_modified_time":"2021-11-25T13:18:11+00:00","og_image":[{"url":"https:\/\/eistudymaterial.s3.amazonaws.com\/a1.png"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebSite","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website","url":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/","name":"mydomain","description":"Just another WordPress site","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/#primaryimage","inLanguage":"en-US","url":"https:\/\/eistudymaterial.s3.amazonaws.com\/a1.png","contentUrl":"https:\/\/eistudymaterial.s3.amazonaws.com\/a1.png"},{"@type":"WebPage","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/#webpage","url":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/","name":"Area of the circular ring - with Examples and FAQs - mydomain","isPartOf":{"@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website"},"primaryImageOfPage":{"@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/#primaryimage"},"datePublished":"2021-11-23T19:00:46+00:00","dateModified":"2021-11-25T13:18:11+00:00","description":"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1","breadcrumb":{"@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-the-circular-ring-with-examples-and-faqs\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/"},{"@type":"ListItem","position":2,"name":"Math Concepts","item":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/"},{"@type":"ListItem","position":3,"name":"Area of the circular ring – with Examples and FAQs"}]}]}},"_links":{"self":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/4400"}],"collection":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/comments?post=4400"}],"version-history":[{"count":6,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/4400\/revisions"}],"predecessor-version":[{"id":4483,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/4400\/revisions\/4483"}],"up":[{"embeddable":true,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/714"}],"wp:attachment":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/media?parent=4400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}