Question

what is the perimeter of the figure? use 3.14 for pi.

Explanation:

Step1: Calculate semi - circle arc length

The diameter of the semi - circle is $16 - 3 - 3=10$m. The formula for the circumference of a full circle is $C = \pi d$. For a semi - circle, the arc length $l=\frac{1}{2}\pi d$. Substituting $d = 10$m and $\pi=3.14$, we get $l=\frac{1}{2}\times3.14\times10 = 15.7$m.

Step2: Sum up straight - line segments

The straight - line segments are two lengths of 3m, one length of 4m and one length of 16m. Their sum is $3 + 3+4 + 16=26$m.

Step3: Calculate perimeter

The perimeter $P$ of the figure is the sum of the semi - circle arc length and the sum of the straight - line segments. So $P=15.7 + 26=41.7$m.

Answer:

$41.7$m