Question

find the perimeter of the figure below, composed of a square and four semicircles. rounded to the nearest tenths place

Explanation:

Step1: Calculate the circumference of one full circle

The diameter of each semicircle is \(d = 10\). The formula for the circumference of a circle is \(C=\pi d\).

$$C=\pi\times10 = 10\pi$$

Step2: Calculate the total perimeter

Since there are 4 semicircles, and 4 semicircles make 2 full - circles.
The perimeter \(P\) of the figure is composed of the circumferences of 2 full - circles.

$$P = 2\times10\pi=20\pi$$

Substitute \(\pi\approx3.14\)

$$P\approx20\times3.14 = 62.8$$

Answer:

\(62.8\)