Question

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a swimming pool is shaped as a rectangle and two semicircles, as shown below. the rectangle is 95 m long and 75 m wide. what is the length of a swimming
pool? (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 semicircles

The two semicircles at the ends form a complete circle. The formula for the circumference of a circle is \(C = \pi d\). Given \(d = 75m\) and \(\pi=3.14\), we have \(C = 3.14\times75\).

$$C = 3.14\times75=235.5m$$

Step2: Calculate the length of the two straight sides

The length of each straight side is \(95m\), and there are two straight sides. So the total length of the straight sides is \(2\times95\).

$$2\times95 = 190m$$

Step3: Calculate the total length of the track

Add the circumference of the circle (formed by the two semicircles) and the lengths of the two straight sides.

$$L=235.5 + 190$$

$$L=425.5m$$

Answer:

\(425.5m\)