Question

homework: unit 3 - geometry question 23, 6.3.69 find the perimeter of the figure given to the right. use the approximation 3.14 for π. the perimeter is (type a whole number or a decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Find semi - circle circumference

The formula for the circumference of a full circle is $C = 2\pi r$. For a semi - circle, the length of the curved part is $C_{semicircle}=\pi r$. Given the diameter of the semi - circle is 4 meters, so the radius $r = 2$ meters. Then $C_{semicircle}=3.14\times2 = 6.28$ meters.

Step2: Find lengths of straight parts

The figure has two vertical sides of length 4 meters each and one horizontal side of length 4 meters. The total length of the straight parts is $4 + 4+4=12$ meters.

Step3: Calculate perimeter

The perimeter $P$ of the figure is the sum of the length of the semi - circle and the lengths of the straight parts. So $P=6.28 + 12=18.28\approx18.3$ meters.

Answer:

18.3