| Assertion (A): If the radius of a circle is \[\frac{7}{\sqrt{\pi }}cm,\] then the area of the circle is \[49\,c{{m}^{2}}\]. |
| Reason (R): If r is radius of a circle, then area of circle is \[2\pi r\]. |
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
Solution :
| [c] Radius of the circle \[(r)=\frac{7}{\sqrt{\pi }}cm\] |
| \[\therefore \] Area of the circle \[=\pi {{r}^{2}}=\pi {{\left( \frac{7}{\pi } \right)}^{2}}=49c{{m}^{2}}\] |
| \[\therefore \] Assertion: True; Reason: False. |
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