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 4π feet
how long will each side of the square frame be?
a. 4 ft
b. 8 ft
c. 16 ft
d. 2 ft

Explanation:

Step1: Find the diameter of the circle

The formula for the circumference of a circle is \(C = \pi d\), where \(C\) is the circumference and \(d\) is the diameter. Given \(C = 4\pi\) feet.
Substitute into the formula: \(4\pi=\pi d\).
Divide both sides by \(\pi\): \(d = 4\) feet.

Step2: Relate the diameter of the circle to the side of the square

Since the circle is inscribed in the square, the diameter of the circle is equal to the side length of the square.

Answer:

A. \(4\) ft