{"id":278744,"date":"2025-08-02T10:50:18","date_gmt":"2025-08-02T10:50:18","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=278744"},"modified":"2025-08-02T10:50:21","modified_gmt":"2025-08-02T10:50:21","slug":"the-fountain-in-the-middle-of-a-park-is-circular-with-a-diameter-of-16-feet","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/02\/the-fountain-in-the-middle-of-a-park-is-circular-with-a-diameter-of-16-feet\/","title":{"rendered":"The fountain in the middle of a park is circular, with a diameter of 16 feet"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/image-169.png\" alt=\"\" class=\"wp-image-278759\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The approximate area of the walkway is&nbsp;<strong>179 square feet<\/strong>.<\/p>\n\n\n\n<p>To solve this problem, we need to find the area of the walkway, which is the space between two circles. This shape is called an annulus. The strategy is to calculate the area of the large outer circle, which includes both the fountain and the walkway, and then subtract the area of the small inner circle, which is just the fountain. The remaining area will be that of the walkway.<\/p>\n\n\n\n<p>First, let&#8217;s find the dimensions of the inner circle, the fountain. The problem states its diameter is 16 feet. The radius of a circle is half of its diameter, so the fountain&#8217;s radius is 16 feet divided by 2, which equals 8 feet. The formula for the area of a circle is A = \u03c0r\u00b2. Using this, the area of the fountain is \u03c0 multiplied by (8 feet)\u00b2, resulting in 64\u03c0 square feet.<\/p>\n\n\n\n<p>Next, we determine the dimensions of the large outer circle. This circle&#8217;s radius is the fountain&#8217;s radius plus the width of the walkway. The walkway is 3 feet wide. Therefore, the radius of the large circle is 8 feet plus 3 feet, which is 11 feet. Using the same area formula, the area of the large circle is \u03c0 multiplied by (11 feet)\u00b2, which equals 121\u03c0 square feet.<\/p>\n\n\n\n<p>Finally, to find the area of the walkway, we subtract the area of the inner circle from the area of the outer circle. This calculation is 121\u03c0 minus 64\u03c0, which gives us an exact area of 57\u03c0 square feet for the walkway.<\/p>\n\n\n\n<p>To get an approximate numerical value, we use the approximation of \u03c0 as 3.14. Multiplying 57 by 3.14 gives us 178.98. Rounding this to the nearest whole number, we get 179 square feet as the approximate area of the walkway.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/learnexams-banner6-45.jpeg\" alt=\"\" class=\"wp-image-278760\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The approximate area of the walkway is&nbsp;179 square feet. To solve this problem, we need to find the area of the walkway, which is the space between two circles. This shape is called an annulus. The strategy is to calculate the area of the large outer circle, which includes [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-278744","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278744","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=278744"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278744\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=278744"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=278744"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=278744"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}