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
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
The area of your circle is about 500.88
Some backround info needed:
Formula for circumference: C=2(3.14)(r)
Formula for area of circle: A=3.14(r^2)

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
[tex]42.1\ units^2[/tex]
Stepbystep explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is
[tex]C=2\pi r[/tex]
we have
[tex]C=23\ units[/tex]
assume
[tex]\pi =3.14[/tex]
substitute the given values and solve for r
[tex]23=2(3.14) r[/tex]
[tex]r=23/6.28[/tex]
[tex]r=3.66\ units[/tex]
step 2
Find the area of the circle
The area of the circle is
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=3.66\ units[/tex]
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(3.66)^{2}[/tex]
[tex]A=42.1\ units^2[/tex]
the answer wouldn't be up there. it is 11612.26
Stepbystep explanation:
[tex]\displaystyle 415,5\:units^2 ≈ A[/tex]
Stepbystep 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:
[tex]\displaystyle πr^2 \\ \\ π11,5^2 = 132,25π ≈ 415,4756284 ≈ 415,5[/tex]
I am joyous to assist you anytime.
B. 415.5 units2
Stepbystep explanation:
376.5
Stepbystep explanation:
A=3.14r^2 so 3.14x 6 which is your radius to the power of 2 A=113.1
Stepbystep explanation:
NOT B
The equation for the circumference of a circle is [tex]c = 2 \pi r[/tex], 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 [tex]A = \pi r^{2}[/tex], 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:
[tex]A = \pi r^{2}\\ A = \pi (17)^{2} \\ A = 289 \pi[/tex]
The area of your circle is 289π.
Circumference = 2 * PI * radius
radius = circumference / 2 * PI
radius =3 PI / 2 PI
radius = 1.5 PI
Circle Area = PI * radius ^2
Circle Area = 2.25 PI