Question

the diameter of two circles are in ratio 3 : 2 find the ratio of their areas

Answer 1

Ratio of their diameters = 3:4
let the diameters be
d1 = 3x and d2=4x
so the ratios will be
r1=3x/2 and r2=4x/2
r1=3x/2 and r2=2x

circumference of a circle = 2×pi× radius
ratio of their circumferences = 2×pi×r1/ 2×pi×r2
=r1/r2
=3x/2/2x
= 3x/4x
=3:4

hope it helps...

Answer 2

Answer:

9:4

Step-by-step explanation:

Given, diameter of 1st circle d₁ = 3.

Given, diameter of 2nd circle d₂ = 2.

Area = πr₁² : πr₂²

        = π[d₁/2]² : π[d₂/2]²

        = [3/2]² : [2/2]²

        = 9/4 : 4/4

        = 9/4 : 1

        = 9 : 4

Therefore,ratio of their areas = 9 : 4.

Hope it helps!