How do you find the area of a circle if the circumfrence is 12pi inches
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How do you find the area of a circle if the circumfrence is 12pi inches

[From: ] [author: ] [Date: 12-03-10] [Hit: ]
14=to the diameter.divide that by 2 to find your radiusr * r * 3.14 to find the area of your circle.-c = 12(3.1416) = 37.a = pi(r^2) = 3.......
Please answer step by step
Thanks :)

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First find your (actual) circumference.
Then do circumference divided by Pi which is 3.14 in simple is equal to the diameter. You can then divide that by two to find your radius! Then use the equation: r * r * 3.14 to find the area from there. Hope this helped! :)

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the circumference of a circle = 2πr
the area of a circle = πr^2

since you are given the circumference, just solve for r (radius) and then find the area

given circumference = 12π
2πr = 12π
r = (12π)/(2π) = 6

area = πr^2 = π(6^2) = 36π

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find your circumference.
divided circumference by 3.14 = to the diameter. divide that by 2 to find your radius r * r * 3.14 to find the area of your circle.

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c = 12(3.1416) = 37.6992 inches
pi(d) = 12pi
the pi's cancel out
d = 12
r = d/2 = 6

a = pi(r^2) = 3.1416 x 36 = 113.0976 inches

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circumference = 2*pi*r

12*pi = 2 * pi * r

r=6 in

area = pi*r^2 = 6^2 * pi = 36pi in^2

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c = 2pi(r)

12 = 2pi(r)

6/pi = r

a = pi(r^2) = pi(6/pi)^2) = 36pi/pi^2 = 36/pi

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c = 2πr
r = c/2π

You have c, so plug it in to get r = 6. Now use r to find the area.
A = πr^2 = 36π
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