Areas Related to Circles
NCERT Exemplar Ch 10
CBSE_NCERT_EXEMPLAR_CH10
Grade 10
Question:
Area of a sector of a circle of radius $r$ with central angle $\theta$ is:
$\dfrac{\theta}{180^\circ} \times \pi r^2$
$\dfrac{\theta}{360^\circ} \times \pi r^2$
$\dfrac{\theta}{180^\circ} \times 2\pi r$
$\dfrac{\theta}{360^\circ} \times 2\pi r$
Step-by-Step Solution
Key Concept: Standard formula for sector area.
Stepwise Solution:
Sector Area $= \dfrac{\theta}{360^\circ} \pi r^2$. [1.0 Mark]
Marking Scheme:
• Standard formula recall: 1.0 Mark
Correct Answer: $\dfrac{\theta}{360^\circ} \times \pi r^2$
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