If the arcs of the same lengths m two circles subtend angles `65o` and `110o` at the centre, find the ratio of their radii.

Explanation

Let, r1 and r2
be the radii of the two circles.

Given, `θ1=65^0⇒π/180×65^0=13π/36`radian and

`θ2=110^0⇒π/180×110^0=22/26
`radian

Let, `l` be the length of each of the arc. Then,

`l=r1 θ1=r2 θ2`

so, `13pi/36 *r1=22pi/36*r2`

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