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What will be the diameter of a circle having area equal to that of a square of side 2.0 m?
Question



What will be the diameter of a circle having area equal to that of a square of side 2.0 m?

A.

~1.256 m

B.

~2.257 m

C.

~0.88 m

D.

~2.718 m

Correct option is B

Given side of square = 2 m.
Area of circle = area of square
Area of circle = π × r^2
where r = radius of the circle
Area of square = a^2
where a = side of the square
Since the Area of the circle = area of the square, we can conclude:
π × r^2 = 22
r^2 = 4 × 7/22
r = 1.2727 m
The diameter of the circle = 2r = 2 × 1.2727 = 2.257 m

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