Question

1. perimeter (terms of pi) __________ perimeter (number) __________ 5 in.

Explanation:

Step1: Identify the shape of the outer - part

The perimeter is composed of 6 semi - circles.

Step2: Find the diameter of each semi - circle

The diameter of each semi - circle is 5 inches.

Step3: Calculate the circumference of one semi - circle

The formula for the circumference of a semi - circle is $C=\frac{1}{2}\times\pi\times d$, where $d = 5$ inches. So, $C=\frac{1}{2}\times\pi\times5=\frac{5\pi}{2}$ inches.

Step4: Calculate the total perimeter

Since there are 6 semi - circles, the total perimeter $P = 6\times\frac{5\pi}{2}=15\pi$ inches. To get the numerical value, substitute $\pi\approx3.14$. Then $P\approx15\times3.14 = 47.1$ inches.

Answer:

Perimeter (terms of Pi): $15\pi$ inches
Perimeter (number): $47.1$ inches