Question

A wall clock has a circumference of 31.4 inches. What is the area of the clock? (Use 3.14 for .)(2 points)
Responses

157 square inches
157 square inches

62.8 square inches
62.8 square inches

15.7 square inches
15.7 square inches

78.5 square inches

Answer 1

The formula to calculate the area of a circle is A = πr^2, where r is the radius of the circle. Given that the circumference of the clock is 31.4 inches, we can find the radius by dividing the circumference by 2π: 31.4 / (2*3.14) = 5 inches.

Now, we can calculate the area of the clock using the formula: A = 3.14 * 5^2 = 3.14 * 25 = 78.5 square inches.

Therefore, the correct answer is: 78.5 square inches.