Question

The ratio of the circumference of 2 circles is 2:5. Find the ratio of the area of 2 circles.

Answer 1

Answer:4/25

Step-by-step explanation:Let the radius of each circle be 'R' and 'r'.

Ratio of circumference = 2/5

2πR/2πr= 2/5

Cancelling 2π,

R/r= 2/5

Ratio of area= πR^2/πr^2

Cancelling π,

(R/r)^2= (2/5)^2

= 4/25

Answer 2

Ratio of circumference =

$\frac{2\pi \: r}{2\pi \: r}$

radius of first circle = x

radius of second circle = y

So, ratio = 2πx/2πy

2πx/2πy = 2/5

x/y=2/5

Ratio of areas = πr^2/πr^2

Ratio of areas = πx^2/πy^2

=x^2/y^2

=(2)^2/(5)^2

=4/25

Hence, the ratio of area of two circles is 4:25