Question

if in two circles arcs of the same length subtend angle 30 degree and 45 degree at the centre then the ratio of their radii is​

Answer 1

Answer:

We know, length of the arc = radius × central angle

Let the radius of first circle be x and central angle be 'a' in radians and length of arc be L.

Let the radius of second circle be y and central angle be 'b' in radians and length of arc be M.

Accordingto statement

L = M

x × a = y × b

$\frac{x}{y} = \frac{b}{a} \\ = \frac{45}{30} \\ = \frac{3}{2}$