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Answer :
We know that area A of a sector of angle \(\theta\) in a circle of radius r is given by
\( A \ = \ \frac{ \theta }{360} \ × \ \pi r^2 \)
But here , \( r \ = \ R \) and \( \theta \ = \ p \)
\(\therefore \) \( A \ = \ \frac{p}{360} \ × \ \pi R^2 \ = \ \frac{p}{720} \ × \ 2\pi R^2 \)
\(\therefore \)(D) is the correct answer.