## 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

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3 months 2022-02-10T05:02:35+00:00 1 Answer 0 views 0

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