Question

a running field is formed by joining a rectangle and two semicircles, as shown below. the rectangle is 90 m long and 63 m wide. what is the length of a lap around the field? (use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.)

Explanation:

Step1: Calculate the circumference of the two semi - circles

The two semi - circles together form a full circle. The diameter of the circle is \(d = 63m\). The formula for the circumference of a circle is \(C=\pi d\). Using \(\pi = 3.14\), we have \(C = 3.14\times63\).

$$C=3.14\times63=197.82m$$

Step2: Calculate the length of the two straight sides

The length of each straight side is \(l = 90m\), and there are two straight sides. So the total length of the straight sides is \(2\times90=180m\)

Step3: Calculate the total length of the track

The total length \(L\) of the track is the sum of the circumference of the circle and the lengths of the two straight sides. So \(L=197.82 + 180\)

$$L=377.82m$$

Answer:

\(377.82m\)