Which has a larger area a circle with a radius of 2 or circle with a circumference of 12?

Question

asked Oct 21, 2023 213k views

1 Answer

Hubert Kario · Answer 1 · 2023-10-26T16:26:23+0000

Answer:

Circle 1

Explanation:

$A=\pi r^2$

$C=2\pi r$

Circle 1 area:

$A=\pi (2)^2=4\pi$

Circle 2, plugin circumference to find radius:

$12=2\pi r$

Solve for r:

$(6)/(\pi ) =r$

Circle 2 area:

$A=\pi ((6)/(\pi ) )^2=\pi ((36)/(\pi ^2))=(36)/(\pi )$

Therefore, circle 1 has a greater area.