344,371 views
22 votes
22 votes
43. Given the circle below, find the perimeter of ABCDE.

43. Given the circle below, find the perimeter of ABCDE.-example-1
User Ahreum
by
2.9k points

1 Answer

20 votes
20 votes

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

43. Given the circle below, find the perimeter of ABCDE.-example-1
User DSpirit
by
3.2k points