Question

the ratio of the radii of two circles is 2:3 find the ratio of their area. if the area of the bigger circle is 3123 sq . cm, find the area of the smaller circle.

Answer 1

prefer the image for the solution

Answer 2

Answer: Area of smaller circle is 1388cm^2.

Step-by-step explanation:

Let the radius of smaller circle be r and that of the bigger circle be R.

Ratio of the radius of two circles, r:R= 2:3

Ratio of their areas= πr^2 : πR^2

Area1/ Area2= r^2/R^2 = (r/R)^2

Here, Area2 is given as 3123cm^2

So, Area1/ 3123= (2/3)^2

So, Area1/3123= 4/9

Therefore, Area1= (4/9)× 3123 = 4×347cm^2 = 1388cm^2

So, area of smaller circle is 1388cm^2.