Circlular metal plate for a machine has radius r. Larger plate with radius r+2 is to be usedin another part of the machine. Write an expression in simplest form for the sum of the areas of the two circles.
my answers is: r^2+2r
it that right?

Question

Circlular metal plate for a machine has radius r. Larger plate with radius r+2 is to be usedin another part of the machine. Write an expression in simplest form for the sum of the areas of the two circles. 
my answers is: r^2+2r 
it that right?

amistre64 · Answer

$$\pi r^2 + \pi(r+2)^2 \rightarrow \pi(r^2 +r^2 +4r +4)$$$$\rightarrow \pi(2r^2 +4r +4) = 2\pi(r^2 +2r +2)$$

amistre64 · Answer

you had a part of it ;)

anonymous · Answer

so the anwser should be 2(r^2+2r+2)

amistre64 · Answer

real close there....  you left out the "pi":

2 pi(r^2 +2r +2)