If arcs of same length in two circles subtend angles of 60° and 75° at their respective centres, find the ratio of their radii.
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then angle substened by an arc at the centre of first circle is θ = 60° = π /3 radian Angle subtended by an arc at the centre of second circle is = 75° = 75π /180 = 5π /12 From formula : Length of arc ( l ) = radius (r) x angle (θ) ∴ Length of arc of first circle = π /3 x r1 Length of arc of second circle = 5π /12 x r2 Given that: Arcs of two circles are of same length Read more on Sarthaks.com - https://www.sarthaks.com/729140/circles-arcs-the-same-length-subtend-angles-60-and-75-the-centre-find-the-ratio-their-radii
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