Question

the segments are tangents to the circle. find the perimeter of jlno.
the perimeter of the polygon is
(simplify your answer.)

Explanation:

Step1: Use the property of tangent segments

If two tangent segments are drawn from the same external point to a circle, then the two tangent segments are congruent.
So, \(JK = JR = 3\), \(LK=LM = 4\), \(MN = NP=2\), \(QR = QP\).
Since \(QR = 7\), then \(QP = 7\).

Step2: Calculate the perimeter of \(JLNQ\)

The perimeter \(P\) of \(JLNQ\) is \(P=JK + LK+LM + MN+NP+QP+QR+JR\)
Substitute the values:

$$
LATEXBLOCK0
$$

Answer:

\(32\)