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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 (Figure). Which pizza is a better deal? - Mathematics

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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 (Figure). Which pizza is a better deal?

Sum

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 = `22/1 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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Chapter 9: Perimeter and Area - Exercise [Page 282]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 9 Perimeter and Area
Exercise | Q 82. | Page 282

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