A) \[\frac{p}{180{}^\circ }\times 2\pi R\]
B) \[\frac{p}{180{}^\circ }\times \pi {{R}^{2}}\]
C) \[\frac{p}{360{}^\circ }\times 2\pi R\]
D) \[\frac{p}{720{}^\circ }\times 2\pi {{R}^{2}}\]
Correct Answer: D
Solution :
Given, sector angle = p and radius of circle = R \[\therefore \]Area of sector \[=\frac{\theta }{360{}^\circ }\times \pi {{r}^{2}}\] \[=\frac{p}{360{}^\circ }\times \pi {{R}^{2}}\] \[=\frac{p}{720{}^\circ }\times 2\pi {{R}^{2}}\]
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