Question

43. Given the circle below, find the perimeter of ABCDE.

Answer 1

Solution

- In order to solve the question, we need to apply the theorem that states that "when two tangents to a circle meet outside the circle, the distance from the point of intersection of the tangents outside the circle to the points of intersection of the circle are equal"

- Thus, we have:

- With the dimensions of the Pentagon filled in from the image above, we can proceed to find the perimeter by adding up all the sides as follows:

$\begin{gathered} P=(11+11)+(9+9)+(7+7)+(9+9)+(5+5) \\ P=82units \end{gathered}$

Final Answer

The Perimeter of the Pentagon is 82 units