Question

the sum of the circumference of four small circles of same 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

Answer 1

let the radius be r of each circle and the radius of bigger circle be R so as per the ques
on solving (see the pic)
R=4r
then the area of one small circle will be
A=(pie)r^2
and area of bigger circle will be
À=(pie)R^2
and R=4r then
(use another pic)