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(C) Given,the diameter of the circular wire is $10 \, cm$.Therefore,the length of the wire (arc length $s$) is equal to the circumference of the wire:

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$\frac{\pi}{5} \, 	ext{radian}$

Vedclass · Answer

(C) Given,the diameter of the circular wire is $10 \, cm$.Therefore,the length of the wire (arc length $s$) is equal to the circumference of the wire: $s = \pi 	imes d = 10\pi \, cm$.The diameter of the circle on which the wire is placed is $1 \, m = 100 \, cm$.Therefore,the radius $r$ of this circle is $r = \frac{100}{2} = 50 \, cm$.The angle $	heta$ subtended by an arc of length $s$ at the centre of a circle of radius $r$ is given by $	heta = \frac{s}{r}$.Substituting the values,$	heta = \frac{10\pi}{50} = \frac{\pi}{5} \, 	ext{radian}$.

$A$ circular wire of diameter $10 \, cm$ is cut and placed along the circumference of a circle of diameter $1 \, m$. The angle subtended by the wire at the centre of the circle is equal to:

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