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A circular wire of radius 15 cm is cut a...

A circular wire of radius 15 cm is cut and bent so as to lie along the circumference of a hoop of radius 120 cm. The angle subtended by it at the centre is

Text Solution

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Circumference of the circular wire of radius `15cm = 2pi**15 = 30pi` cm
Radius of the hoop `(r) = 120cm`
Let `theta` is the angle subtended by the circular wire at the center of the hoop.
Then,
`rtheta = 30pi`
`=>120(theta) = 30pi`
`=> theta = pi/4 = 45^@`
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