479,825 views
13 votes
13 votes
Assume that segments that appear to be tangent are tangent Find the perimeter of CDEF

Assume that segments that appear to be tangent are tangent Find the perimeter of CDEF-example-1
User Gazihan Alankus
by
2.7k points

2 Answers

9 votes
9 votes

The perimeter of the CDEF is 46.5 unit.

According to the tangent theorem,

Two tangents have equal tangent segments if they are directed to a circle from a single exterior point. A tangent segment is a line that joins the point of tangency to the external point.

The following are the two key theorems concerning tangents to a circle:

  • The first theorem states that the tangent and the circle's radius form a right angle at the point of tangency.
  • The second theorem states that the two tangents drawn from an exterior point to a circle have equal lengths

Given: CDEF

We have to find the Perimeter of the CDEF solution:

So, we can write it as:

Perimeter of CDEF

=CD+DE+EF+FC

=7.4+14+12.1+13

= 46.5 unit

User Fareeha
by
3.3k points
9 votes
9 votes

Let's put more details in the given figure to better understand the problem.

Assume that segments that appear to be tangent are tangent Find the perimeter of CDEF-example-1
User Ted Betz
by
2.8k points