Q8 of 30 Page 516

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


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