Question

in a wedding ring quilt pattern, the design has intersecting circles, as shown below. each circle has a radius of 8 inches. to quilt the design, the circumference of each circle must be stitched. if there are 24 rings on the quilt, what is the total length, in inches, that must be stitched? 2 of 3 questions 384π in 96π in 16π in 768π in

Explanation:

Step1: Find the circumference of one circle

The formula for the circumference of a circle is \(C = 2\pi r\). Given \(r = 8\) inches, then \(C=2\pi\times8=16\pi\) inches.

Step2: Calculate the total length for 24 circles

Since there are 24 circles, the total length \(L\) is \(L = 24\times C\). Substitute \(C = 16\pi\) into the formula: \(L=24\times16\pi = 384\pi\) inches.

Answer:

384π in