46
Chord $\text{AB}$ of a circle subtends an angle of $120^\circ$ at the centre $\text{O}$ of the circle. Find the length of arc $\text{AB}$, if radius of the circle is $21 \text{ cm}$.
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Solution:
Length of arc $\text{AB} = \frac{\theta}{360^\circ} \times 2\pi r$ (2 Marks)
$= \frac{120}{360} \times 2 \times \frac{22}{7} \times 21$ (1 Mark)
$= 44 \text{ cm}$
Length of arc $\text{AB} = \frac{\theta}{360^\circ} \times 2\pi r$ (2 Marks)
$= \frac{120}{360} \times 2 \times \frac{22}{7} \times 21$ (1 Mark)
$= 44 \text{ cm}$