A wall clock has a circumference of 31.4 inches. What is the area of the clock?
A. 157 in.².
B. 62.8 in.².
C. 15. 7 in.².
D. 78.5 in.².
B. 62.8 in.².
The area of the clock can be calculated using the formula for the area of a circle: A = πr^2, where r is the radius of the circle. Since the circumference of the clock is 31.4 inches, we can find the radius by dividing the circumference by 2π: r = 31.4 / (2 * 3.14) ≈ 5 inches.
Now, we can calculate the area using the formula: A = 3.14 * 5^2 = 3.14 * 25 ≈ 78.5 in.². So, the correct answer is B. 62.8 in.².