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

A~1.256 m

B~2.257 m ✓ Correct

C~0.88 m

D~2.718 m

Correct answer: (B) ~2.257 m

Explanation

The diameter is about 2.257 m.

The square of side 2.0 m has area = 2 x 2 = 4 sq m.

Set the circle area equal: pi x r^2 = 4, so r^2 = 4 / pi.

r = 2 / √pi = 1.1284 m.

Diameter = 2r = 2.257 m.

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