Two distinct, nonparallel lines are tangent to a circle.

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.

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.

Please see the attached file for the complete solution.
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