Question
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.
Use 3.14 spacefor pi.
Round your answer to the nearest tenth.
Answers
GPT 3.5
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.
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.