| Assertion (A): If the outer and inner diameter of a circular path is\[10m\]and \[6\,m\]then area of the path is \[16\pi {{m}^{2}}\]. |
| Reason (R): If R and r be the radius of outer and inner circular path \[=\pi ({{R}^{2}}-{{r}^{2}})\]. |
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: A
Solution :
| [a] Area of the path |
| \[=\pi \left[ {{\left( \frac{10}{2} \right)}^{2}}-{{\left( \frac{6}{2} \right)}^{2}} \right]=\pi (25-9)=16\pi \] |
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