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An arc of length 20π cm subtends an angle of 144° at the centre of a circle. Find the radius of the circle.

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Arc length = 20π cm 

Angle subtend at center = 144° 

\(\frac{π\times144°}{180°}\) = \(\frac{4π}{5}\)

Arc length = radius × angle

radius = \(\frac{arc\,length}{angle}\) = \(\frac{20π\times5}{4π}\) = 25 cm

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