Question

Find the perimeter of the semicircular region.

Answer 1

Step 1: Find the distance around the curved path

Given: Radius (r) = $15$ in

Distance around curved path = $\frac{Circumferenceofcircle}{2}$

$\Rightarrow$Distance around curved path = $\frac{2\mathrm{\pi r}}{2}$

$\Rightarrow$Distance around curved path = $\mathrm{\pi r}$

$\Rightarrow$Distance around curved path = $3.14\times 15$

$\therefore$Distance around curved path = $47.1$ in

Step 2: Find the perimeter of a given figure

Perimeter of given figure = Distance around curved path + Diameter of semicircular region

$\Rightarrow$Perimeter of given figure = $47.1+\left(2\times 15\right)$

$\therefore$Perimeter of given figure = $77.1$ in

Hence the perimeter of given figure is $77.1$in