The figure shows a highway sign that warms of a railway cros

The figure shows a highway sign that warms of a railway crossing. The lines that form the cross pass through the circle\'s center and intersect at right angles. If the radius of the circle is 30 inches, find the length of each of the four arcs formed by the cross. Express your answer In terms of a and then round to two decimal places. Express the answer in terms of pi. The length of each of the four arcs formed by the cross is inches. (Simplify your answer Type an exact answer in terms of pi. Use integers or fractions for any numbers in the expression.) Round the answer to two decimal pieces. The length of each of the four arcs formed by the cross is approximately niches.

Solution

The cross divide the entire circumferenc into 4 equal parts:

Arc length = radius *theta = 30*pi/4 = 15pi/2