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Question

# A rectangle with one side 4 cm inscribed in a circle of radius 2.5 cm. Find the area of the rectangle.

Hint:

## The correct answer is: 12 cm2

### It is given that radius of the circle = 2.5 cm

AC = 2 × radius = 5 cm

Length of the rectangle, AB = 4 cm ( given)

We need to find breadth of the rectangle i.e. BC

Using Pythagoras Theorem

AC^{2} = AB^{2} + BC^{2}

5^{2} = 4^{2} + BC^{2}

25 – 16 = BC^{2}

9 = BC^{2 } BC = 3 cm

Area of rectangle = length breadth

= 4 × 3 = 12 cm^{2}

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