Question

The radius of two circle are in the ratio 2 : 3. Find the ratio of their:

(a) Circumferences. (b) Areas. ​

Answer 1

Answer:

a) 2:3

b) 4:9

Step-by-step explanation:

let radius be 2x:3x

circumference of circle 1 = 2πr= 2π(2x)=4πx

circumference of circle 2 = 2πr= 2π(3x)=6πx

ratio = 4πx:6πx

         = 2:3

area of circle 1 = πr^2 = π(2x)^2 = 4πx

area of circle 2 = πr^2= π(3x)^2 = 9πx

ratio = 4πx:9πx

        = 4:9