Question

If the circumference of a circle measures 3/2pi cm, what is the area of the circle in terms of pi

Answer 1

The area of circle in terms of pi is $\frac{9}{16}\pi \ cm^2.$

Step-by-step explanation:

Given,

Circumference of circle = $\frac{3}{2} \pi$  cm

Circumference of a circle is calculated by 2πr.

$2\pi r=\frac{3}{2}\ pi$

Dividing both sides by 2π

$\frac{2\pi r}{2\pi}=\frac{3}{2}\pi *\frac{1}{2\pi}\\r=\frac{3}{4}$

The radius of circle is $\frac{3}{4}$

Area of circle = πr²

Area of circle = $\pi *(\frac{3}{4})^2$

Area of circle = $\pi *\frac{9}{16}$

Area of circle = $\frac{9}{16}\pi$ cm²

The area of circle in terms of pi is $\frac{9}{16}\pi \ cm^2.$

Keywords: area, circle

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