Question

Find the exact area of a circle having The given circumference eight pi

Answer 1

First you would have to divide 8 by 2.

Answer 2

We are told that the circumference is \(\Large\bf{8 \pi}\). We would need to work backwards to find the radius so we can find the area.

\(\huge\bf{A= \pi r^{2}}\)
So lets work backwards from the Circumference formula...

\(\huge{8 \pi = \pi~ (r \times 2)}\)

So we know `pi` is multiplied into `8pi` so that cancels...

\(\huge\bf{8=r \times 2}\)

So we now would divide by 2...

\(\huge{\frac{8}{2}=r}\)

Answer 3

So 4 is the answer?

Answer 4

Not exactly. Now you know the radius is 4. Now you have to plug in 4 into: \[A=\pi \times r ^{2}\]

Answer 5

No. That would be the radius. Now we can find the Area.

\(\huge\bf{A= \pi (4)^{2}}\)

Simplify....but keep \(\large{\pi}\) as \(\large{\pi}\).

Answer 6

\[A=\pi \times 4^{2}\]\[A=3.14 \times 16\]

Answer 7

50.24?

Answer 8

You got it!

Answer 9

That is correct :)

Answer 10

But don't forget \[50.25 units ^{2}\]

Answer 11

Yupp thank you both!

Answer 12

No problem! Any more problems?

Answer 13

Yes I will post it

Answer 14

Okay =)

Answer 15

np :)