The sum of the areas of two circles is 80pi square meters. find the length of the radius of each circle if one of them is twice as long as the other

Ok so area of circle=pir^2

if one is 2 times another

the radiouses are

r and 2r

they add up to 80pi so

pir^2+pi (2r) ^2=80pi

undistribute pi

pi (r^2 + (2r) ^2) = 80pi

divide both sides by pi

r^2 + (2r) ^2=80

do the exponent

(2r) ^2=4r^2 so we have

r^2+4r^2=80

add like terms

5r^2=80

divide both sides by 5

r^2=16

square root both sides

r=4

2r=8

radii are 4m and 8m