Question

Find the ratio of the radii of two circles at the centres of which two equal area subtend
angles of 30 and 70"​

Answer 1

Step-by-step explanation:                                                                            Angle(θ) of a circle is given by,

θ=ar, where a is arc and r is radius.

∴r=aθ

⇒r1r2=a1θ1a2θ2

It is given, arcs of the circles are equal.

∴r1r2=θ2θ1=7030=73

So, ratio of radii of two given circles will be 7:3