Explore BrainMass
Share

# Two distinct, nonparallel lines are tangent to a circle.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Two distinct, nonparallel lines are tangent to a circle. The measurement of the angle between the two lines is 54° (angle QVP).

Suppose the diameter of the circle is 2cm. What is the distance VP?
Suppose the distance VP is 3.93 cm. What is the diameter of the circle?
Find a formula for d, the diameter of the circle, in terms of VP.
Find a formula for VP in terms of d, the diameter of the circle.

https://brainmass.com/math/circles/two-distinct-nonparallel-lines-are-tangent-to-a-circle-97283

#### Solution Preview

Problem #6
Suppose the center of the circle is O, since the angle QVP is 54 degree,
then the angle OVP is 54/2=27 degree.
(a) If the diameter of the circle ...

#### Solution Summary

Geometry of two distinct, nonparallel lines tangent to a circle are investigated. The response received a rating of "5/5" from the student who originally posted the question.

\$2.19