If the arcs of the same length in two circles subtend angles 750 and 1200 at the centre, find the ratio of their radii
Angle in radians = ![]()
θ=
where θ is central angle, l=length of arc, r=radius
Therefore
= ![]()
= ![]()
l = r × θ
Now, as the length is the same
Therefore, ![]()
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![]()
Therefore the ratio of their radii is 8 : 5