# 9. Find the area of a circle having a circumference of 382. Round to the nearest tenth. Use 3.14 for 1. a. 1133.5 units b. 1078.6

9. Find the area of a circle having a circumference of 382. Round to the nearest tenth. Use 3.14 for 1.
a. 1133.5 units b. 1078.6 units?
c. 2267.1 units

## This Post Has 10 Comments

1. jacobdismuke5093 says:

Some backround info needed:

Formula for circumference: C=2(3.14)(r)
Formula for area of circle: A=3.14(r^2)
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First, you need to find the radius of the circle.
Do this by dividing pi and 2 from 79.3.

79.3 / 2 = 39.65
39.65 / 3.14 = about 12.63

The radious of the cirlce is 12.63.

Now find the area:
a = 3.14(12.63^2)

12.63 x 12.63 = about 159.51

159.51 x 3.14 = 500.883066

Round .883 to .88

2. naomicervero says:

$42.1\ units^2$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is

$C=2\pi r$

we have

$C=23\ units$

assume

$\pi =3.14$

substitute the given values and solve for r

$23=2(3.14) r$

$r=23/6.28$

$r=3.66\ units$

step 2

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=3.66\ units$

$\pi =3.14$

substitute

$A=(3.14)(3.66)^{2}$

$A=42.1\ units^2$

3. smarty5187 says:

the answer wouldn't be up there. it is 11612.26

Step-by-step explanation:

4. alexisbcatlett14 says:

$\displaystyle 415,5\:units^2 ≈ A$

Step-by-step explanation:

In the circumference, 27 represents the diameter, and the radius is half the diameter, so take half of it to get 11,5. Then use it in the area formula:

$\displaystyle πr^2 \\ \\ π11,5^2 = 132,25π ≈ 415,4756284 ≈ 415,5$

I am joyous to assist you anytime.

5. 1230bering says:

B. 415.5 units2

Step-by-step explanation:

6. sallyguzman4281 says:

376.5

Step-by-step explanation:

7. shamiahG says:

A=3.14r^2 so 3.14x 6 which is your radius to the power of 2 A=113.1

8. sam57884 says:

Step-by-step explanation:

NOT B

9. Rattley6223 says:

The equation for the circumference of a circle is $c = 2 \pi r$, where c=circumference and r=radius of the circle.

Since you know c = 34π, plug that into the equation for the circumference of the circle and solve for r, the radius:
c = 2πr
34π = 2πr
34 = 2r
r = 17

The equation for the area of a circle is $A = \pi r^{2}$, where A=area of the circle and r=radius of the circle.

Since you know the radius = 17, plug that into the equation for the area of a circle to find the area:
$A = \pi r^{2}\\&10;A = \pi (17)^{2} \\&10;A = 289 \pi$

The area of your circle is 289π.

10. durham953 says:

Circumference = 2 * PI * radius
radius = circumference / 2 * PI

radius =3 PI / 2 PI