Question
A wall clock has a circumference of 31.4 inches. What is the area of the clock? (Use 3.14 for .)
Answers
GPT 3.5
To find the area of the clock, you need to use the formula A = πr^2, where r is the radius of the clock.
Since the circumference of the clock is 31.4 inches, we know that the formula for circumference is C = 2πr.
31.4 = 2πr
r = 31.4 / (2 * π)
r = 31.4 / 6.28
r ≈ 4.99 inches
Now, plug the radius into the formula for the area of a circle:
A = π(4.99)^2
A = 3.14 * (24.9)
A = 78.186 square inches
Therefore, the area of the clock is approximately 78.186 square inches.
Since the circumference of the clock is 31.4 inches, we know that the formula for circumference is C = 2πr.
31.4 = 2πr
r = 31.4 / (2 * π)
r = 31.4 / 6.28
r ≈ 4.99 inches
Now, plug the radius into the formula for the area of a circle:
A = π(4.99)^2
A = 3.14 * (24.9)
A = 78.186 square inches
Therefore, the area of the clock is approximately 78.186 square inches.