Question
A wall clock has a circumference of 31.4 inches. What is the area of the clock?
Answers
GPT 3.5
To find the area of the clock, we first need to determine the radius of the clock. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
Given that the circumference of the clock is 31.4 inches, we can calculate the radius by rearranging the formula:
31.4 = 2πr
r = 31.4 / (2*π)
r = 31.4 / 6.28
r ≈ 4.998 inches
Now that we have the radius, we can calculate the area of the clock using the formula for the area of a circle: A = πr^2
A = π * (4.998)^2
A ≈ π * 24.98
A ≈ 78.45 square inches
Therefore, the area of the clock is approximately 78.45 square inches.
Given that the circumference of the clock is 31.4 inches, we can calculate the radius by rearranging the formula:
31.4 = 2πr
r = 31.4 / (2*π)
r = 31.4 / 6.28
r ≈ 4.998 inches
Now that we have the radius, we can calculate the area of the clock using the formula for the area of a circle: A = πr^2
A = π * (4.998)^2
A ≈ π * 24.98
A ≈ 78.45 square inches
Therefore, the area of the clock is approximately 78.45 square inches.