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Question

A circle is inscribed in a square of side 14 m. The ratio of the area of the circle and that of
the square is

(a) π : 3 (b) π : 4 (c) π : 2 (d) π : 1

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Solution

Let a and r be the side of the square and radius of the circle respectively.
Here, the diameter of the circle is equal to the side of the square. So
Diameter of circle = 2r = a
Therefore
Area of circleArea of square=πr2a2=π×r22r2=π4
Hence, the correct option is (b).

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