A wall clock has a circumference of 31.4 inches. What is the area of the clock? (Use 3.14 for .)..
To find the area of the clock, you first need to find the radius of the clock face.
The formula for the circumference of a circle is:
Circumference = 2πr
Given that the circumference is 31.4 inches, and using the approximation of π as 3.14:
31.4 = 2 * 3.14 * r
31.4 = 6.28 * r
r = 31.4 / 6.28
r = 5 inches
Now that we have the radius, we can use the formula for the area of a circle:
Area = πr^2
Substitute the radius value into the formula:
Area = 3.14 * 5^2
Area = 3.14 * 25
Area = 78.5 square inches
Therefore, the area of the wall clock is 78.5 square inches.