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,
Therefore the ratio of their radii is 8 : 5