Question

What is the length of line segment QP? Round to the

nearest unit.
O
O
O
o
13 units
17 units
18 units
20 units

Answer 1

Answer:20 units

Explanation:

Answer 2

`QP=20\ units`

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`

we have

The radius is equal to

`r=24/2=12\ units` ----> the radius is half the diameter

`OP=r+NP=12+11.5=23.5\ units`

`OQ=r=12\ units`

substitute

`23.5^2=12^2+QP^2`

`QP^2=23.5^2-12^2`

`QP^2=408.25`

`QP=20\ units`