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If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.

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If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.

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Let the two radii be r1 and r2 

The central angles arc 60° and 75° 

The arc lengths be s1 and s2

We are given s1 = s2

So their radii are in the ratio 5 : 4.

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