A wall clock has a circumference of 43.96 inches. What is the area of the clock?

Answer: The area of the circle in inches is A = 153.64 inches²

Step-by-step explanation:

This problem bothers on the calculations on shapes

In this Case a circle

The circumference of a circle is given by

C=2πr

Given that C = 43.96 inches

We need to solve for the radius, because we also need the radius to solve for the area

43.96 = 2*3.142*r

43.96=6.284r

r = 43.96/6.284

r=6.99 inches

Now back to the area of a circle which is given by

A=πr²

Substituting our value for Pi we have

A = 3.142*6.99²

A=3.142*48.89

A = 153.64 inches²

find the radius:

r = C/2pi

r = about 7 (6.99645)

find the area:

A = pi (r) ^2

A = about 153.78194 inches^2