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    Two distinct, nonparallel lines are tangent to a circle.

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    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.

    © BrainMass Inc. brainmass.com October 9, 2019, 6:46 pm ad1c9bdddf
    https://brainmass.com/math/circles/two-distinct-nonparallel-lines-are-tangent-to-a-circle-97283

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    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.

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