Question

If the circumference of a circle measures 5π cm, what is the area of the circle in terms of π? A) 5 /4 π cm2 B) 5/ 2 π cm2 C) 2/5 4 π cm2 D) 2/5 2 π cm2

Answer 1

the equation for area of a circle using circumference is C (squared) over 4 pie, so my best guess would be A.

Answer 2

The area of the circle is
`((25)/(4)) \pi\ cm^(2)`

Explanation:

step 1

Find the radius of the circle

we know that

The circumference is equal to

`C=2\pi r`

we have

`C=5\pi\ cm`

substitute and solve for r

`5\pi=2\pi r`

`r=(5)/(2)\ cm`

step 2

Find the area of the circle

The area of the circle is equal to

`A=\pi r^(2)`

substitute the value of r in the formula

`A=\pi ((5)/(2))^(2)`

`A=\pi ((25)/(4))`

`A=((25)/(4)) \pi\ cm^(2)`