Question
A wall clock has a circumference of 31.4 inches.
What is the area of the clock?
What is the area of the clock?
Answers
GPT 3.5
To find the area of the clock, we need to calculate the area of the circle that corresponds to the clock's circumference.
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.
Given that the circumference is 31.4 inches, we can solve for the radius:
31.4 = 2πr
r = 31.4 / (2π)
r ≈ 4.991 inches
Now, we can calculate the area of the circle using the formula A = πr^2:
A = π(4.991)^2 ≈ 78.5 square inches
Therefore, the area of the clock is approximately 78.5 square inches.
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.
Given that the circumference is 31.4 inches, we can solve for the radius:
31.4 = 2πr
r = 31.4 / (2π)
r ≈ 4.991 inches
Now, we can calculate the area of the circle using the formula A = πr^2:
A = π(4.991)^2 ≈ 78.5 square inches
Therefore, the area of the clock is approximately 78.5 square inches.