Question

For each of the questions below, use 3.14 as an approximation for i and round your solution to the nearest whole number. 10 5 5 10 5 5 a What is the perimeter of this figure, to the nearest unit?

Answer 1

First, we need to calculate the length of the arc at the bottom right corner.

This arc is a quarter of a complete circle. The perimeter of a complete circle is computed as follows:

$P=2\cdot\pi\cdot r$

Then, the length of the arc is (the radius is 5):

$\begin{gathered} P=2\cdot3.14\cdot5\cdot\frac{1}{4} \\ P=7.85 \end{gathered}$

Therefore, the perimeter of the figure is:

5 + 10 + 10 + 5 + 7.85 = 37.85 ≈ 38