NCERT · Class 10 · Mathematics · Areas Related to CirclesThe area of a sector of angle $p$ (in degrees) of a circle with radius $R$ is:
Step-by-Step Solution
The area of a sector with angle $p$ is $\frac{p}{360^\circ} \times \pi R^2$, which can also be written as $\frac{p}{720^\circ} \times 2 \pi R^2$. Checking the options, $\frac{p}{720^\circ} \times 2 \pi R^2$ simplifies to $\frac{p}{360^\circ} \pi R^2$.
Detailed Options Breakdown
Option : \frac{p}{180^\circ} \times \pi R^2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 1: \frac{p}{360^\circ} \times \pi R
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 2: \frac{p}{720^\circ} \times 2 \pi R^2 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: \frac{p}{720^\circ} \times 2 \pi R
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
💡 Study Guide: This question tests core syllabus concepts from Areas Related to Circles. For formulas, key summaries, and mock exam reference guides, read the full Areas Related to Circles Revision Notes.