Question

A circular piece of wood with an area of
202π has a smaller circle cut out from
it. The area of the remaining piece is 121π
. Find the area of the smaller circle (in
terms of π
) and the radius of the smaller
circle.​

Answer 1

Answer:

area of the smaller circle is 81π

and its radius is 9.

Step-by-step explanation:

the area remaining =

area of bigger circle -area of smaller circle

therefore

are of smaller circle is

202π-121π=

81π

radius of the smaller circle is given by

area=π*r*r

ie.

π*r*r=81π

r=9