Question:
A circular wire of radius 7 cm is cut and bent again into an arc of a circle of radius 12 cm. The angle subtended by the arc at the centre is
(a) 50°
(b) 210°
(c) 100°
(d) 60°
(e) 195°
Solution:
(b) 210°
Length of the arc of radius = Circumference of the circle of radius $7 \mathrm{~cm}=2 \pi r=14 \pi$
Now,
Angle subtended by the arc $=\frac{\text { Arc }}{\text { Radius }}=\frac{14 \pi}{12}=\left(\frac{14 \pi}{12} \times \frac{180}{\pi}\right)^{\circ}=210^{\circ}$
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