what is the area of a circle with a circumference of 43.98226in.?
43.98226 = pi * d
43.9825 / 3.14 = d
14.007089172/ 2 = r
7.003544586 = r
A = pi * r^2
A = 3.14 * 49.0496367681
A = 154.015859452 square inches
To find the area of a circle, you need to know the formula:
Area = π * (radius)^2
Given the circumference of a circle (43.98226 in.), we can use the formula to find the radius first, and then find the area.
Step 1: Calculate the radius
The formula for the circumference of a circle is: Circumference = 2 * π * radius
Since we know the circumference (43.98226 in.), we can rearrange the formula to solve for the radius:
43.98226 = 2 * π * radius
To find the radius, divide both sides of the equation by 2π:
radius = 43.98226 / (2π)
Step 2: Calculate the area
Now that we have the radius, we can substitute it into the area formula:
Area = π * (radius)^2
Substituting the value of the radius (from Step 1), we get:
Area = π * (43.98226 / (2π))^2
Simplifying the equation further, we have:
Area ≈ (43.98226 / (2))^2
Area ≈ (21.99113)^2
Area ≈ 483.09653 square inches
So, the approximate area of the circle with a circumference of 43.98226 inches is 483.09653 square inches.