The sum of circumference of four small circle of equal radius is equal to the circumference of a bigger circle - Maths - Perimeter and Area

Question

The sum of circumference of four small circle of equal radius is
equal to the circumference of a bigger circle Find the ratio of the
area of the bigger circle to that of the smaller circle

Neha Sethi · Accepted Answer

Dear student
Let "r" be the radius of smaller circle and "R" be the radius of bigger circle
A T
Q42πr=2πR    ∵Circumference of circle=2πr⇒8πr=2πR⇒4r=R  
1Consider, πR2πr2       ∵Area of circle=πr2=π4r2πr2    using 1=16r2r2=16So, πR2:πr2=16:1
Regards

The sum of circumference of four small circle of equal radius is equal to the circumference of a bigger circle.Find the ratio of the area of the bigger circle to that of the smaller circle.