Question

1. perimeter (terms of pi) perimeter (number) 10 ft. 6 ft.

Explanation:

Step1: Calculate arc - length of semi - circle

The formula for the circumference of a full - circle is $C = 2\pi r$. For a semi - circle, the arc - length $l$ is $\frac{1}{2}\times2\pi r=\pi r$. Given $r = 6$ ft, the arc - length of the semi - circle is $l=\pi\times6 = 6\pi$ ft.

Step2: Calculate the sum of the non - circular sides

The non - circular sides of the figure have lengths 10 ft and 6 ft. The sum of these two sides is $10 + 6=16$ ft.

Step3: Calculate the perimeter

The perimeter $P$ of the figure is the sum of the arc - length of the semi - circle and the lengths of the non - circular sides. So $P=6\pi+16$ ft. In decimal form, taking $\pi\approx3.14$, we have $P = 6\times3.14+16=18.84 + 16=34.84$ ft.

Answer:

Perimeter (terms of $\pi$): $6\pi + 16$ ft
Perimeter (number): $34.84$ ft