Question

Each region is bounded by circular arcs or line segments. Find the perimeter of the region.

Answer 1

Let's begin by identifying key information given to us:

The shape is a composite shape composed of one square & 4 semi-circles

However, to obtain the perimeter of the shape, we will sum the perimeter of all 4 semi-circles

The perimeter or circumference is therefore calculated as shown below:

`\begin{gathered} C(semi-circle)=\pi r \\ r=5 \\ \pi=3.14 \\ C(semi-circle)=3.14*5=15.7 \\ \text{The circumference for 4 semi-circles is given as:} \\ C_(total)=4*15.7=62.8 \\ \therefore C_(total)=62.8unit^2 \end{gathered}`