Question

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

Answer 1

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.