**Assertion and Reason Questions for Class 10 Maths Chapter 12 Areas Related to Circles**

** Directions: **In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

(c) Assertion (A) is true but reason (R) is false.

(d) Assertion (A) is false but reason (R) is true.

**Q.1. Assertion (A): **In a circle of radius 6 cm, the angle of a sector is 60°. Then the area of the sector is 132/7 cm^{2}.**Reason (R): **Area of the circle with radius r is πr^{2}.

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Answer: (b)**Q.2. Assertion (A):** If the circumference of a circle is 176 cm, then its radius is 28 cm.**Reason (R): **Circumference = 2π × radius.

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Answer: (a)**Q.3. Assertion (A): **If the outer and inner diameter of a circular path is 10 m and 6 m respectively, then area of the path is 16π m^{2}.**Reason (R):** If R and r be the radius of outer and inner circular path respectively, then area of circular path = π(R^{2} – r^{2}).

## Answer

Answer: (a)**Q.4. Assertion (A):** The length of the minute hand of a clock is 7 cm. Then the area swept by the minute hand in 5 minute is 77/6 cm^{2}.**Reason (R):** The length of an arc of a sector of angle q and radius r is given by