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Lapatulllka [165]
3 years ago
13

The circumference of a circle is 3π in. What is the area of the circle? ​ 1.5π ​ in² ​ 2.25π ​ in² ​ 6π ​ in² ​ 9π ​ in²

Mathematics
2 answers:
Goryan [66]3 years ago
4 0

Answer:

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

Step-by-step 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}=\frac{2\pi r}{2\pi}

\frac{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.

dangina [55]3 years ago
3 0
C = 2<span>πr
so
r = C/2</span><span>π
r = 3</span>π/2<span>π
r = 3/2
r = 1.5

A = </span><span>πr^2
A = </span><span>π(1.5)^2
A = 2.25</span><span>π 

answer
</span><span>2.25π ​ in²</span>
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