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Question
Pizza factory has come out with two kinds of pizzas. A square pizza of side 45 cm costs ₹ 150 and a circular pizza of diameter 50 cm costs ₹ 160 (see figure). Which pizza is a better deal?
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Solution
Given, side of square pizza = 45 cm
∴ Area of a square pizza = (Side)2 = (45)2 = 2025 cm2
Diameter of circular pizza = 50 cm
∴ Radius = `50/2` = 25 cm ...`[∵ "Radius" = "Diameter"/2]`
Now, area of the circular pizza = `22/7 xx 25 xx 25`
= `22/7 xx 625`
= `13750/7`
= 1964.28 cm2 ...[∵ Area of circle = πr2]
∴ Price of 1 cm square pizza = `2025/150` = ₹ 13.5
And price of 1 cm circular pizza = `1964.28/160` = ₹ 12.27
Hence, the circular pizza is a better deal.
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