Question

Find the exact area of a circle having the given circumference

4(sqrt3pi)

it is not 124!!!!

Answer 1

circumference is
\[2\pi r\] and here
\[2\pi r = 4\sqrt{3\pi}\] so
\[r=\frac{2\sqrt{3\pi}}{\pi}\]
\[A=\pi r^2=\pi \times(\frac{2\sqrt{3\pi}}{\pi})^2\]
\[12\pi\]

Answer 2

circumference = 2r(pi) = 4(sqrt3pi)
r(pi) = 2(sqrt3pi)
r = 2(sqrt3pi)/pi

area = pi(r^2)
area = pi(2(sqrt3pi)/pi)^2
area = pi(12pi/pi^2)
area = 12pi^2/pi^2
area = 12

Answer 3

I'll give you a new formula to learn along with the usual two:

Twice the area = radius times circumference (2A = rC).