Question

If the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?

Answer 1

Answer:

the area of the circle is $2.25\pi\ cm^2$.

Step-by-step explanation:

We have,

Circumference of a circle is 3π cm

Formula of circumference of a circle is given by :

$C=2\pi r$

r is radius of circle

$r=\dfrac{C}{2\pi}\\\\r=\dfrac{3\pi }{2\pi}\\\\r=1.5\ cm$

Area of a circle is given by :

$A=\pi r^2\\\\A=\pi (1.5)^2\\\\A=2.25\pi\ cm^2$

So, the area of the circle is $2.25\pi\ cm^2$.