Area of a sector of central angle $p^\circ$ of a circle with radius $R$ is:
(a) $\dfrac{p}{720} \times 2 \pi R^2$
(b) $\dfrac{p}{180} \times \pi R^2$
(c) $\dfrac{p}{360} \times 2 \pi R$
(d) $\dfrac{p}{720} \times 2 \pi R$
Step-by-Step Solution
Key Concept: $\text{Area} = \dfrac{p}{360} \times \pi R^2 = \dfrac{p}{720} \times 2 \pi R^2$.
$\text{Area} = \dfrac{p}{360} \pi R^2 = \dfrac{p}{720} \times 2 \pi R^2$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting $(p/720) \times 2\pi R^2$: 1.0 Mark
Correct Answer: $\dfrac{p}{720} \times 2 \pi R^2$