Question

If the circumference of a circle and the perimeter a square are equal, then check whether it is correct that area of circle > area of the square.
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Answer 1

A/Q,

Circumference of circle = Perimeter of circle

So,

2 pi r = 4 a, where a = side of square

2 x 22/7 x r = 4 a

22/7 r = 4/2 a

22/7 r = 2 a

r = 2 a x 7/22

r = 7/11 a

So, Ratio

= Ar of Circle/ Ar of square

= pi r^2 / a^2

= 22/7 x 7/11 a x 7/11 a/ a^2

= 14/11

So, Ratio of ar of circle : ar of square

= 14 : 11

Hence, from the above finding, we can prove

area of circle > area of square.

Answer 2

Answer:

area of square is greater

Explanation:

perimeter of circle=2πr [ r is radius ]

perimeter of square = 4×s [ s is the side ]

according to ques:

2πr=4s

s= 11/7 r

area of circle = 22/7 r^2

area of square = s^2

= 121/49 r^2

equating areas

121/49 r^2 = 22/7 r^2

this means that area of circle > area of square