65.5k views
4 votes
I Problem #1The figure above is made of 4 equal squares with side length of 8, and 2 half circles. Find the perimeter of the figure in terms of 7 (leaved as it is). Note:The perimeter does not include the lines inside the shape, just the outline of the entire figure.

I Problem #1The figure above is made of 4 equal squares with side length of 8, and-example-1
User Dnickels
by
4.4k points

1 Answer

3 votes

\text{Perimeter}_(figure)=98.26\text{ m}

Step-by-step explanation

Perimeter is the distance around a two-dimensional shape. Add the side lengths to find the perimeter of regular polygons

Step 1

Let

diameter of the circle=2*8=16

Now, the perimeter is=(6*8)+2 perimeter of half circle


\begin{gathered} \text{perimeter of the circle}=\text{diameter}\cdot\pi \\ \text{then} \end{gathered}
\begin{gathered} \text{Perimeter}_(figure)=(6\cdot8\text{ m)+2}\frac{\text{(16}\cdot\pi)}{2} \\ \text{Perimeter}_(figure)=48\text{ m+}16\pi \\ \text{Perimeter}_(figure)=48\text{ m+50.26 m} \\ \text{Perimeter}_(figure)=98.26\text{ m} \end{gathered}

I hope this helps you

I Problem #1The figure above is made of 4 equal squares with side length of 8, and-example-1
User HurnsMobile
by
4.8k points