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Areas Related to Circles
RD Sharma
CBSE
Grade 10

Question:

If an arc of a circle of radius $14\text{ cm}$ subtends an angle of $60^\circ$ at the centre, then the length of the arc is:
(a) $\dfrac{44}{3}\text{ cm}$
(b) $\dfrac{88}{3}\text{ cm}$
(c) $22\text{ cm}$
(d) $14\text{ cm}$

Step-by-Step Solution

Key Concept: $l = \dfrac{60}{360} \times 2 \times \dfrac{22}{7} \times 14 = \dfrac{1}{6} \times 88 = \dfrac{44}{3}\text{ cm}$.
$l = \dfrac{1}{6} \times 2 \times \dfrac{22}{7} \times 14 = \dfrac{44}{3}\text{ cm}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Calculating arc length $= 44/3\text{ cm}$: 1.0 Mark

Correct Answer: $\dfrac{44}{3}\text{ cm}$
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