Find the circumference of a circle whose area is 452.16 square meters. (Use 3.1416 as the value of π.)
A. 12 meters
B. 75.3984 meters
C. 24 meters
D. 37.6992 meters
I don't know what formula to use for this equation.
Yes, B is correct.
We need two formulas.
A = pi * r^2
452.16 = 3.1416 * r^2
452.16/3.1416 = r^2
143.92667 = r^2
12 = r
Now you can find the circumference.
C = pi * d
C = 3.14 * (2 * 12)
Oh ok I figured it out,dont want to type out all my work, but the answer that I came up with is B, am I correct?
it’s 12
To find the circumference of a circle when given the area, you need to use the formula:
C = 2π√(A/π)
Where:
C = Circumference
A = Area
π = Pi (approximately 3.1416)
In this case, the given area is 452.16 square meters, and using π = 3.1416, we can substitute these values into the formula to find the circumference.
C = 2 * 3.1416 * √(452.16/3.1416)
C = 2 * 3.1416 * √(144)
Now we need to calculate the square root of 144:
C = 2 * 3.1416 * 12
C = 75.3984
Therefore, the circumference of the circle is approximately 75.3984 meters.
So, the correct answer is option B, 75.3984 meters.