Two circles have the same radius. Is the combined area of the two circles the same as the area of a circle with twice the radius? Explain.

THANK YOU!

3 answers

no!

Two circles of radius r
= 2(π)(r^2)
= 2π r^2

one circle of radius 2r
= π(2r)^2
= 4π r^2

use an example, eg. r = 3
two circles with r = 3
= 2π(3^2) = 18π

one circle with radius 6
= π(6^2)
= 36π

notice the singe large circle is twice the area of the two smaller ones
I dont think that answers the question it is to hard to understand
some things are harder for others