Calculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. Leave your answers in terms of pi.

When the radius doubles, does the area of the circle double?
A) 4π cm2; 8π cm2; NO
B) 4π cm2; 16π cm2; NO
C) 4π cm2; 16π cm2; YES
D) 4π cm2; 8π cm2; YES

c?

3 answers

Not C. doubling 4π gives 8π.
But D is also incorrect.

Note that replacing r with 2r means you have
π(2r)^2 = π*4r^2 = 4πr^2 not 2πr^2
no U!
It is B. :)