Chapter 12 Areas Related to Circles Assertation & Reasoning Questions Class 10th

Direction: 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 cm².
Reason (R): Area of the circle with radius r is πr².

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.

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 16πm².
Reason (R): If R and r be the radius of outer and inner circular path respectively, then area of circular path = π(R² – r²).

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 cm².
Reason (R): The length of an arc of a sector of angle q and radius r is given by

Answer: (b)

5) Assertion (A): In the figure, C1 and C2are two circles with radii 7 cm and 5 cm respectively, then area of shaded portion is 24πcm2 .              

Reason (R): When two circles touch internally, the distance between their centres is equal to sum of their radii.

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

Correct Answer: C

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