my math homework tells me to find the area of a circle using it's circumference. the circumference given was 6π yd. (6 pi yard). can someone explain to me how to find the area?
C = 2 r pi
6 pi = 2 r pi Diwide both sides with 2 pi
3 = r
r = 3 yd
A = r ^ 2 pi
A = 3 ^2 pi
A = 9 pi yd ^ 2
For more information in google type:
wikipeda circle
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To find the area of a circle using its circumference, you can use the formula:
Area = (Circumference ^ 2) / (4 * π)
Given that the circumference is 6π yards, you can substitute this value into the formula:
Area = (6π)^2 / (4 * π)
Now, let's simplify the equation step by step:
Step 1: Square the circumference:
Area = (36π^2) / (4π)
Step 2: Simplify the expression by canceling out the common factor (4π):
Area = 9π
Therefore, the area of the circle is 9π square yards.
To find the area of a circle using its circumference, you can use the formula:
Area = (Circumference)^2 / (4π)
In this case, the given circumference is 6π yd. You will substitute this value into the formula:
Area = (6π)^2 / (4π)
Now, let's simplify the expression:
Area = (36π^2) / (4π)
Next, cancel out the common factor of π:
Area = (36π) / 4
Simplify the expression further:
Area = 9π
So, the area of the circle is 9π square yards.
Note: If you are required to provide a decimal approximation, you can use the value of π as approximately 3.14. Hence, the area would be approximately 9(3.14) = 28.26 square yards.