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Asked by Syed Last Modified
Answer Let the radii of the two circles be
and
. Let an arc of length l subtend an angle of 60° at the centre of the circle of radius r1, while let an arc of length l subtend an angle of 75° at the centre of the circle of radius r2.
Now, 60° =
and 75° =
We know that in a circle of radius r unit, if an arc of length l unit subtends an angle θ radian at the centre, then
.
Thus, the ratio of the radii is 5:4.
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