Question

select the correct answer.
a window maker creates a round window to be placed into a square frame. the circumference of the window is $4\pi$ feet.
how long will each side of the square frame be?
a. 2 ft
b. 8 ft
c. 4 ft
d. 16 ft

Explanation:

Step1: Recall circumference formula

The circumference of a circle is $C = \pi d$, where $d$ is the diameter.

Step2: Solve for diameter $d$

Substitute $C = 4\pi$ into the formula:
$4\pi = \pi d$
Divide both sides by $\pi$:
$d = \frac{4\pi}{\pi} = 4$

Step3: Relate diameter to square side

The diameter of the circle equals the side length of the square frame.

Answer:

C. 4 ft