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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
Options
50°
210°
100°
60°
195°
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Solution
210°
Length of the arc of radius = Circumference of the circle of radius 7 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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