{"id":28769,"date":"2025-06-20T15:16:56","date_gmt":"2025-06-20T15:16:56","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=28769"},"modified":"2025-06-20T15:16:57","modified_gmt":"2025-06-20T15:16:57","slug":"what-is-the-percentage-increase-in-area-when-ordering-a-14-inch-rather-than-a-12-inch-pizza","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-percentage-increase-in-area-when-ordering-a-14-inch-rather-than-a-12-inch-pizza\/","title":{"rendered":"What is the percentage increase in area when ordering a 14 inch rather than a 12 inch pizza"},"content":{"rendered":"\n<p>What is the percentage increase in area when ordering a 14 inch rather than a 12 inch pizza?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-light-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To calculate the percentage increase in area when ordering a 14-inch pizza instead of a 12-inch pizza, we use the formula for the area of a circle: Area=\u03c0r2\\text{Area} = \\pi r^2Area=\u03c0r2<\/p>\n\n\n\n<p>For a 12-inch pizza, the radius is 6 inches: Area12=\u03c0\u00d762=\u03c0\u00d736\u2248113.1&nbsp;square&nbsp;inches\\text{Area}_{12} = \\pi \\times 6^2 = \\pi \\times 36 \\approx 113.1 \\text{ square inches}Area12\u200b=\u03c0\u00d762=\u03c0\u00d736\u2248113.1&nbsp;square&nbsp;inches<\/p>\n\n\n\n<p>For a 14-inch pizza, the radius is 7 inches: Area14=\u03c0\u00d772=\u03c0\u00d749\u2248153.9&nbsp;square&nbsp;inches\\text{Area}_{14} = \\pi \\times 7^2 = \\pi \\times 49 \\approx 153.9 \\text{ square inches}Area14\u200b=\u03c0\u00d772=\u03c0\u00d749\u2248153.9&nbsp;square&nbsp;inches<\/p>\n\n\n\n<p>Now calculate the percentage increase: Percentage&nbsp;Increase=(153.9\u2212113.1113.1)\u00d7100\u224836.1%\\text{Percentage Increase} = \\left( \\frac{153.9 &#8211; 113.1}{113.1} \\right) \\times 100 \\approx 36.1\\%Percentage&nbsp;Increase=(113.1153.9\u2212113.1\u200b)\u00d7100\u224836.1%<\/p>\n\n\n\n<p><strong>Explanation (<\/strong><\/p>\n\n\n\n<p>When comparing the value of different pizza sizes, it is important to focus on area rather than diameter. A common mistake is to assume that a 14-inch pizza is only slightly bigger than a 12-inch pizza because the diameter increases by just 2 inches. However, the area of a circle increases with the square of the radius. This means even small increases in diameter result in much larger increases in area.<\/p>\n\n\n\n<p>The formula for the area of a circle is pi times the radius squared. For a 12-inch pizza, the radius is 6 inches, giving an area of about 113.1 square inches. A 14-inch pizza has a radius of 7 inches and an area of about 153.9 square inches. The difference between these two areas is 40.8 square inches.<\/p>\n\n\n\n<p>To understand what this means in practical terms, consider that a 14-inch pizza offers more than one-third extra area compared to a 12-inch pizza. Specifically, the increase is approximately 36.1 percent. This is significant because it shows that buying a larger pizza usually provides more food for less money per square inch.<\/p>\n\n\n\n<p>Many pizza chains price pizzas based on size, but the larger pizzas often give better value when measured by area. If the cost difference between the 12-inch and 14-inch pizzas is less than 36 percent, then the 14-inch pizza is the better deal. This calculation can be a useful tool when trying to get the most food for your money.<\/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-banner8-250.jpeg\" alt=\"\" class=\"wp-image-28770\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-250.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-250-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-250-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the percentage increase in area when ordering a 14 inch rather than a 12 inch pizza? The Correct Answer and Explanation is: To calculate the percentage increase in area when ordering a 14-inch pizza instead of a 12-inch pizza, we use the formula for the area of a circle: Area=\u03c0r2\\text{Area} = \\pi r^2Area=\u03c0r2 [&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-28769","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28769","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=28769"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28769\/revisions"}],"predecessor-version":[{"id":28771,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28769\/revisions\/28771"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=28769"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=28769"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=28769"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}