If the circumference of a circle measures 3/2pi cm, what is the area of the circle in terms of pi Question If the circumference of a circle measures 3/2pi cm, what is the area of the circle in terms of pi in progress 0 Math Nevaeh 3 months 2022-02-10T05:02:35+00:00 2022-02-10T05:02:35+00:00 1 Answer 0 views 0

## Answers ( )

The area of circle in terms of pi is[tex]\frac{9}{16}\pi \ cm^2.[/tex]Step-by-step explanation:Given,

Circumference of circle = [tex]\frac{3}{2} \pi[/tex] cm

Circumference of a circle is calculated by 2πr.

[tex]2\pi r=\frac{3}{2}\ pi[/tex]

Dividing both sides by 2π

[tex]\frac{2\pi r}{2\pi}=\frac{3}{2}\pi *\frac{1}{2\pi}\\r=\frac{3}{4}[/tex]

The radius of circle is [tex]\frac{3}{4}[/tex]

Area of circle = πr²

Area of circle = [tex]\pi *(\frac{3}{4})^2[/tex]

Area of circle = [tex]\pi *\frac{9}{16}[/tex]

Area of circle = [tex]\frac{9}{16}\pi[/tex] cm²

The area of circle in terms of pi is[tex]\frac{9}{16}\pi \ cm^2.[/tex]Keywords:area, circleLearn more about area at:#LearnwithBrainly