A circle's circumference is 47.1 inches. What is the area of the circle?
Use 3.14 spacefor pi.
Round your answer to the nearest tenth.
The formula to calculate the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius.
In this case, the circumference is given as 47.1 inches. Substituting this value in the formula, we get:
47.1 = 2πr
We need to solve for the radius, so we divide both sides of the equation by 2π:
r = 47.1 / (2π)
Using the value of π as 3.14, we can calculate the radius:
r = 47.1 / (2 * 3.14) ≈ 7.5 inches
Now that we have the radius, we can use the formula for the area of a circle, which is A = πr^2. Substituting the value of the radius:
A = 3.14 * (7.5)^2 ≈ 176.625 inches^2
Therefore, the area of the circle is approximately 176.6 inches^2.