Question

Find the exact area of a circle having the given circumference.

8 pi

Answer 1

in order to find the area we need to integrate with respect to the radius :)

Answer 2

circumference = 2pi r

8pi = 2pi r

r = 8pi/2pi = 4

\[\int_{0}^{4}(2\pi\ r)dr\]

Answer 3

dang lol amistre she doesn't know integrals yet

Answer 4

Solve for the radius and then use A=pi r^2

Answer 5

\[2pi\int_{0}^{4}r\ dr\]
\[2pi(\frac{r^2}{2})|^{4}\]
\[pi (4^2)=16pi\]

Answer 6

oh sorry nevermind u already solved for r, didn't see that

Answer 7

No wait she doesn't know integrals yet

Answer 8

lol it aint forbidden knowledge ;)