# NCERT Mathematics Class 10 Exemplar Ch 11 Area Related to Circles Part 3

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**EXERCISE 11.3**

1. Find the radius of a circle whose circumference is equal to the sum of the circumferences of two circles of radii and .

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2. In Fig. 11.5, a square of diagonal 8 cm is inscribed in a circle. Find the area of the shaded region.

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3. Find the area of a sector of a circle of radius and central angle .

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4. The wheel of a motor cycle is of radius . How many revolutions per minute must the wheel make so as to keep a speed of ?

Answer: .

5. A cow is tied with a rope of length at the corner of a rectangular field of dimensions . Find the area of the field in which the cow can graze.

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6. Find the area of the flower bed (with semi-circular ends) shown in Fig. 11.6.

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7. In Fig. 11.7, AB is a diameter of the circle, and . Find the area of the shaded region .

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