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The side of a square is 10 cm. Find the area between the inscribed and circumscribed circle of the square.

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15 π {cm}^{2}

25 π {cm}^{2}

35 π {cm}^{2}

45 π {cm}^{2}

answer is B.

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Detailed Solution

For the inscribed circle:
Diameter = Side of the square = 10 cm

Radius = \frac{10}{2} = 5 cm

So, circumscribed circle diameter

= 10 \sqrt{2} cm

Area = π r^{2}

= π \times (5 \sqrt{2})^{2}

= 50 π cm

And diameter of inscribed circle=10 cm

Area = π \times 5 \times 5

= 25 π {cm}^{2}

Correct option is 2.

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