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Areas Related to Circles
RD Sharma
CBSE
Grade 10

Question:

If the angle of a sector of a circle of radius $R$ is $\theta$ (in degrees), then the length of the arc is:
(a) $\dfrac{\theta}{180} \times \pi R$
(b) $\dfrac{\theta}{360} \times \pi R$
(c) $\dfrac{\theta}{180} \times 2 \pi R$
(d) $\dfrac{\theta}{360} \times \pi R^2$

Step-by-Step Solution

Key Concept: $l = \dfrac{\theta}{360} \times 2 \pi R = \dfrac{\theta}{180} \times \pi R$.
$l = \dfrac{\theta}{360} \times 2\pi R = \dfrac{\theta}{180} \pi R$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Selecting $(\theta/180) \times \pi R$: 1.0 Mark

Correct Answer: $\dfrac{\theta}{180} \times \pi R$
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