{"id":17765,"date":"2025-06-12T16:24:34","date_gmt":"2025-06-12T16:24:34","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=17765"},"modified":"2025-06-12T16:24:37","modified_gmt":"2025-06-12T16:24:37","slug":"a-plate-has-a-radius-of-5-5-inches","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-plate-has-a-radius-of-5-5-inches\/","title":{"rendered":"A plate has a radius of 5.5 inches"},"content":{"rendered":"\n<p>A plate has a radius of 5.5 inches. What is the circumference of the plate?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>To find the <strong>circumference<\/strong> of a circular plate, we use the formula: Circumference=2\u03c0r\\text{Circumference} = 2\\pi r<\/p>\n\n\n\n<p>where rr is the radius of the circle and \u03c0\u22483.1416\\pi \\approx 3.1416.<\/p>\n\n\n\n<p>Given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Radius r=5.5r = 5.5 inches<\/li>\n<\/ul>\n\n\n\n<p>Circumference=2\u00d7\u03c0\u00d75.5=2\u00d73.1416\u00d75.5\\text{Circumference} = 2 \\times \\pi \\times 5.5 = 2 \\times 3.1416 \\times 5.5 Circumference\u224834.5576&nbsp;inches\\text{Circumference} \\approx 34.5576 \\text{ inches}<\/p>\n\n\n\n<p><strong>Answer:<\/strong> The circumference of the plate is approximately <strong>34.56 inches<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">300-Word Explanation:<\/h3>\n\n\n\n<p>The concept of <strong>circumference<\/strong> refers to the total distance around a circular object. In the context of a plate, this is the measurement of the outer edge of the circular dish. When you walk around the edge of a circle, the distance you travel is called the circumference.<\/p>\n\n\n\n<p>To calculate this, we use the mathematical constant <strong>\u03c0 (pi)<\/strong>, which represents the ratio of the circumference of a circle to its diameter. The value of \u03c0\\pi is approximately 3.1416, although it continues infinitely without repeating.<\/p>\n\n\n\n<p>In this case, the <strong>radius<\/strong> of the plate is given as <strong>5.5 inches<\/strong>. The radius is the distance from the center of the circle to any point on its boundary. The diameter is simply twice the radius, so 2\u00d75.5=112 \\times 5.5 = 11 inches.<\/p>\n\n\n\n<p>Plugging the radius into the circumference formula: Circumference=2\u03c0r=2\u00d73.1416\u00d75.5=34.5576&nbsp;inches\\text{Circumference} = 2\\pi r = 2 \\times 3.1416 \\times 5.5 = 34.5576 \\text{ inches}<\/p>\n\n\n\n<p>This calculation means that if you took a string and wrapped it exactly once around the edge of the plate, then laid it out flat and measured it, it would be about 34.56 inches long.<\/p>\n\n\n\n<p>Understanding circumference is important in many real-world applications, from designing plates and wheels to building circular fences. It helps in estimating lengths, understanding proportions, and solving geometric problems. By applying a simple formula involving pi and the radius, we gain a practical and precise way to measure the boundary of any circular object.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A plate has a radius of 5.5 inches. What is the circumference of the plate? The correct answer and explanation is: To find the circumference of a circular plate, we use the formula: Circumference=2\u03c0r\\text{Circumference} = 2\\pi r where rr is the radius of the circle and \u03c0\u22483.1416\\pi \\approx 3.1416. Given: Circumference=2\u00d7\u03c0\u00d75.5=2\u00d73.1416\u00d75.5\\text{Circumference} = 2 \\times \\pi [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-17765","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17765","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=17765"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17765\/revisions"}],"predecessor-version":[{"id":17766,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17765\/revisions\/17766"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=17765"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=17765"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=17765"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}