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Two distinct-nonparallel lines are tangent to a circle

Quesrtion:

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).

a. Suppose the diameter of the circle is 2cm. What is the distance VP?

b. Suppose the distance VP is 3.93 cm. What is the diameter of the circle?

c. Find a formula for d, the diameter of the circle, in terms of VP.

d. Find a formula for VP in terms of d, the diameter of the circle.

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Mathematics: Two distinct-nonparallel lines are tangent to a circle

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