Question

Find the perimeter of the semicircular region.

Answer 1

Step 1: Find the distance around the curved path

Given: Diameter (d) = $7$cm

We know that

Radius (r) = $\frac{d}{2}$

$\Rightarrow$ r = $\frac{7}{2}$

$\therefore$ r = $3.5$ cm

Now,

Distance around curved path = $\frac{\mathrm{Circumference}\mathrm{of}\mathrm{circle}}{2}$

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

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

$\Rightarrow$Distance around curved path = $3.14\times 3.5$

$\therefore$Distance around curved path = $11$ cm (Approximately)

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 = $11+7$

$\therefore$Perimeter of given figure = $18$ cm
Hence the perimeter of given figure is $18$cm