Find the area of the following plane figure.
A circle whose circumference measures 28 centimeters.
Area (to the nearest square centimeter) =
To find the area of a circle, we can use the formula:
Area = π * radius^2
The formula requires us to know the radius of the circle. However, in this case, we are only given the circumference. To find the radius from the circumference, we can use the formula:
Circumference = 2 * π * radius
We can rearrange this formula to solve for the radius:
radius = Circumference / (2 * π)
Now we can substitute the given circumference value (28 centimeters) into the formula to find the radius:
radius = 28 / (2 * π)
Using the approximate value of π as 3.14, we can calculate the radius:
radius = 28 / (2 * 3.14)
radius ≈ 4.46 centimeters
Now that we know the radius, we can substitute this value into the area formula to find the area:
Area = π * (radius)^2
Area ≈ 3.14 * (4.46)^2
Area ≈ 62.35 square centimeters
Therefore, the area of the circle is approximately 62.35 square centimeters.
C = pi * d
28 = 3.14d
8.917 = d
A = pi * r^2