A circle is inscribed inside a square of area $100 {c m}^{2}$ . Radius of the circle is ____________.

10 cm

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5 cm

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2.5 cm

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20 cm

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Solution

The correct option is B
5 cm

Area of square = $100 {c m}^{2}$

Side of the square = S = $10 c m$

This side is the diameter of the circle, therefore its radius will be half of the side.

Hence radius of the circle = R = 5 cm

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