Question

The Circumference of four small circles of equal raduis is equal to the Circumference of the bigger circle.find the ratio of the area of the bigger circle to that of the smaller circle.​

Answer 1

Answer:

Four small circles having radius=r

bigger circles radius is $$= R.$

circumference of circle is =2πr.

4×2πr=2πR

R=4r

Area=

areaofsmallcircle

areaofbiggercircle

=

π×r×r

π×R×R

=

r

2

R

2

=(

r

R

)

2

=4

2

=16.