{"id":37499,"date":"2025-06-25T19:19:55","date_gmt":"2025-06-25T19:19:55","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=37499"},"modified":"2025-06-25T19:38:19","modified_gmt":"2025-06-25T19:38:19","slug":"find-the-area-and-the-circumference-or-perimeter-of-each-object","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-the-area-and-the-circumference-or-perimeter-of-each-object\/","title":{"rendered":"Find the area and the circumference (or perimeter) of each object"},"content":{"rendered":"\n<p>Find the area and the circumference (or perimeter) of each object. (a) A penny, (b) a nickel, (c) a dime, (d) a quarter, (e) a half-dollar, (f) a silver dollar, (g) a Susan B. Anthony dollar, (h) a dollar bill, and (i) one face of the pyramid on the back of a $ 1 bill.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the <strong>area<\/strong> and <strong>circumference (or perimeter)<\/strong> of each object, we need their dimensions. Coins are circular, so we use:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Area of a circle<\/strong>: A = \u03c0r\u00b2<\/li>\n\n\n\n<li><strong>Circumference of a circle<\/strong>: C = 2\u03c0r<\/li>\n<\/ul>\n\n\n\n<p>A dollar bill and the pyramid are not circular, so we use:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Area of a rectangle<\/strong>: A = length \u00d7 width<\/li>\n\n\n\n<li><strong>Area of a triangle<\/strong> (for pyramid face): A = \u00bd \u00d7 base \u00d7 height<\/li>\n\n\n\n<li><strong>Perimeter<\/strong> depends on shape (sum of all sides)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">(a) Penny<\/h3>\n\n\n\n<p>Diameter = 0.75 in \u2192 Radius = 0.375 in<br>Area = \u03c0 \u00d7 (0.375)\u00b2 \u2248 0.4418 in\u00b2<br>Circumference = 2 \u00d7 \u03c0 \u00d7 0.375 \u2248 2.356 in<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(b) Nickel<\/h3>\n\n\n\n<p>Diameter = 0.835 in \u2192 Radius = 0.4175 in<br>Area \u2248 \u03c0 \u00d7 (0.4175)\u00b2 \u2248 0.5475 in\u00b2<br>Circumference \u2248 2 \u00d7 \u03c0 \u00d7 0.4175 \u2248 2.623 in<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(c) Dime<\/h3>\n\n\n\n<p>Diameter = 0.705 in \u2192 Radius = 0.3525 in<br>Area \u2248 \u03c0 \u00d7 (0.3525)\u00b2 \u2248 0.3901 in\u00b2<br>Circumference \u2248 2 \u00d7 \u03c0 \u00d7 0.3525 \u2248 2.214 in<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(d) Quarter<\/h3>\n\n\n\n<p>Diameter = 0.955 in \u2192 Radius = 0.4775 in<br>Area \u2248 \u03c0 \u00d7 (0.4775)\u00b2 \u2248 0.716 in\u00b2<br>Circumference \u2248 2 \u00d7 \u03c0 \u00d7 0.4775 \u2248 2.998 in<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(e) Half-Dollar<\/h3>\n\n\n\n<p>Diameter = 1.205 in \u2192 Radius = 0.6025 in<br>Area \u2248 \u03c0 \u00d7 (0.6025)\u00b2 \u2248 1.139 in\u00b2<br>Circumference \u2248 2 \u00d7 \u03c0 \u00d7 0.6025 \u2248 3.783 in<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(f) Silver Dollar<\/h3>\n\n\n\n<p>Diameter = 1.5 in \u2192 Radius = 0.75 in<br>Area \u2248 \u03c0 \u00d7 (0.75)\u00b2 \u2248 1.767 in\u00b2<br>Circumference \u2248 2 \u00d7 \u03c0 \u00d7 0.75 \u2248 4.712 in<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(g) Susan B. Anthony Dollar<\/h3>\n\n\n\n<p>Diameter = 1.043 in \u2192 Radius = 0.5215 in<br>Area \u2248 \u03c0 \u00d7 (0.5215)\u00b2 \u2248 0.855 in\u00b2<br>Circumference \u2248 2 \u00d7 \u03c0 \u00d7 0.5215 \u2248 3.276 in<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(h) Dollar Bill<\/h3>\n\n\n\n<p>Length = 6.14 in, Width = 2.61 in<br>Area = 6.14 \u00d7 2.61 \u2248 16.0254 in\u00b2<br>Perimeter = 2 \u00d7 (6.14 + 2.61) \u2248 17.5 in<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(i) One Face of the Pyramid<\/h3>\n\n\n\n<p>Estimate base = 1 in, height = 0.85 in (approx. visual from the bill)<br>Area \u2248 \u00bd \u00d7 1 \u00d7 0.85 = 0.425 in\u00b2<br>Perimeter = 2 sides + base. If each slant side is ~0.9 in \u2192 0.9 + 0.9 + 1 = 2.8 in<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>These measurements illustrate real-world applications of geometry in currency. Coins are modeled as perfect circles, and paper money and designs use basic shapes like rectangles and triangles. This helps in teaching and understanding geometry through familiar everyday items.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-906.jpeg\" alt=\"\" class=\"wp-image-37527\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-906.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-906-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-906-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the area and the circumference (or perimeter) of each object. (a) A penny, (b) a nickel, (c) a dime, (d) a quarter, (e) a half-dollar, (f) a silver dollar, (g) a Susan B. Anthony dollar, (h) a dollar bill, and (i) one face of the pyramid on the back of a $ 1 bill. [&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-37499","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37499","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=37499"}],"version-history":[{"count":2,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37499\/revisions"}],"predecessor-version":[{"id":37528,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37499\/revisions\/37528"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=37499"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=37499"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=37499"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}