Question

find the exact area of a circle having the given circumference: 3pi

Answer 1

\[3\pi\]

Answer 2

well start with the circumference

the circumference of a circle in terms of radius is

\[C = 2 \pi r\]

and you know \[C = 3\pi \]

so

\[3\pi = 2\pi r\]

you need to solve for r...can you do that

Answer 3

so 3* 3.14? =9.42 then what?

Answer 4

it asks for an exact value so just use p

to find r

if

\[3\pi = 2 \pi r\]

then

\[r = \frac{3\pi}{2\pi}\]

eliminate the common factor to get

\[r = \frac{3}{2}\]

the exact value means you need to use fractions and pi... no decimals...

can you now find the area of the circle.?

Answer 5

\[\frac{ 3 }{ 2 } X \frac{ 3 }{ 2 } X 3.14 =A ?\]

Answer 6

9/4 pi

Answer 7

correct