Step 1 :The problem is asking for the length of each of the four arcs formed by the cross. Since the lines that form the cross pass through the circle's center and intersect at right angles, each of the four arcs is a quarter of the circumference of the circle.
Step 2 :The formula for the circumference of a circle is \(2\pi r\), where \(r\) is the radius of the circle. In this case, the radius is given as 29 inches.
Step 3 :Therefore, the length of each arc is \(\frac{1}{4}\) of the circumference, or \(\frac{1}{4} \times 2\pi r = \frac{1}{2}\pi r\).
Step 4 :Substituting \(r = 29\) into the formula, we get the length of each arc as \(\frac{1}{2}\pi \times 29\).
Step 5 :Calculating the above expression, we get the length of each arc as approximately 45.55 inches.
Step 6 :Final Answer: The length of each of the four arcs formed by the cross is \(\boxed{45.55}\) inches when rounded to two decimal places.