![QP=20\ units](/tpl/images/0534/5343/2b0a5.png)
Step-by-step explanation:
The picture of the question in the attached figure
Let
O ---> the center of the circle
we have that
Line segment QP is tangent to the circle
That means
OQ (radius) is perpendicular to segment QP
OQP is a right triangle
Applying Pythagorean Theorem
![OP^2=OQ^2+QP^2](/tpl/images/0534/5343/4045b.png)
we have
The radius is equal to
----> the radius is half the diameter
![OP=r+NP=12+11.5=23.5\ units](/tpl/images/0534/5343/1c43c.png)
![OQ=r=12\ units](/tpl/images/0534/5343/f78b6.png)
substitute
![23.5^2=12^2+QP^2](/tpl/images/0534/5343/3d8e9.png)
![QP^2=23.5^2-12^2](/tpl/images/0534/5343/1e691.png)
![QP^2=408.25](/tpl/images/0534/5343/d938d.png)
![QP=20\ units](/tpl/images/0534/5343/2b0a5.png)
![What is the length of line segment QP? Round to the nearest unit. O O O o 13 units 17 units 18 units](/tpl/images/0534/5343/20ee3.jpg)