2 Answers

Mosheb · Answer 1 · 2019-10-30T04:32:10+0000

Answer:

B.
$2.25\pi \text{ inches}^2$

Explanation:

We have been given that the circumference of a circle is
$3\pi$ inches. We are asked to find the area of the circle.

Since we know that the circumference of a circle is
$2\pi r$ .

$\text{Circumference}=2\pi r$

Upon substituting the circumference as
$3\pi\text{ inches}$ we will get,

$3\pi=2\pi r$

Let us divide both sides of our equation by
$2\pi$ .

$\frac{3\pi\text{ inches}}{2\pi}=(2\pi r)/(2\pi)$

$(3)/(2)\text{ inches}=r$

$1.5\text{ inches}=r$

$\text{Area of circle}=\pi r^2$

Upon substituting r=1.5 in area of circle formula we will get,

$\text{Area of circle}=\pi*(1.5\text{ inches})^2$

$\text{Area of circle}=\pi*2.25\text{ inches}^2$

Therefore, the area of circle will be
$2.25\pi \text{ inches}^2$ and option B is the correct choice.

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