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A wire of length \(25\pi\) cm is bent so as to be along the arc of a circle of diameter 100 cm. The…

The correct choice is: \(\frac{\pi}{2}\) Angle (in radians) = arc length ÷ radius. Radius = 100/2 = 50 cm. \(\theta = \frac{25\pi}{50} = \frac{\pi}{2}\). Hence the angle…

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A wire of length 25π25\pi cm is bent so as to be along the arc of a circle of diameter 100 cm. The angle subtended by the arc at the centre of the circle is :

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Correct answer C

The correct choice is: π2\frac{\pi}{2}

Angle (in radians) = arc length ÷ radius. Radius = 100/2 = 50 cm.

θ=25π50=π2\theta = \frac{25\pi}{50} = \frac{\pi}{2}.

Hence the angle subtended at the centre is π2\frac{\pi}{2}.

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  • NCHM Joint Entrance Examination (NCHM JEE)

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