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

AAbout 1.256 m

BAbout 2.257 m ✓ Correct

CAbout 0.88 m

DAbout 2.718 m

Correct answer: (B) About 2.257 m

Explanation

The diameter is about 2.257 m.

Square area = 2.0 x 2.0 = 4 sq m.

Set pi x r^2 = 4, so r^2 = 4 / 3.1416 = 1.273.

r = 1.128 m, giving diameter 2r = 2.257 m.

The circle's diameter is about 2.257 m.

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