| Directions (Q. Nos. 1 - 18): In the following questions, statement of Assertion (A) is followed by a statement of Reason R). Mark the correct choice as: |
| Assertion (A): In a circle of radius \[\text{6 cm},\] the angle of a sector \[60{}^\circ \]. Then the area of the sector is \[18\frac{6}{7}c{{m}^{2}}\]. |
| Reason (R): Area of the circle with radius r is \[\pi {{r}^{2}}\]. |
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: B
Solution :
| [b] Area of the sector |
| \[=\frac{\theta }{360}=\pi {{r}^{2}}=\frac{60}{360}\times \frac{22}{7}\times 6\times 6\] |
| \[=\frac{132}{7}=18\frac{6}{7}c{{m}^{2}}.\] |
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