Practice with Angles in Circles - Angles Outside the Circle Topic Index | Geometry Index | Regents Exam Prep Center

Solve the following problems dealing with angles in circles.

(Do not assume diagrams are drawn to scale.)

 1 Given two secants with one going through the center of the circle, find x. Choose: 20 30 60 80

 2 Given two secants, find x. Hint:  find y first. Choose: 40 60 80 140

 3 Given two tangents, find x. Choose: 80 100 180 260

 4 Given a tangent and a secant going through the center of the circle, find x. Choose: 135 90 55 45

 5 Given two secants, find x. Choose: 40 70 110 150

 6 Given two secants, find x. Choose: 105 80 45 25

 7 Given a tangent and a secant, find x. Choose: 135 150 160 180

 8 Given two tangents, find x. Choose: 30 60 120 180

 9 Given two secants, find x. Choose: 10 20 30 40

 10. In which of the following diagrams is <1 NOT always equal to <2? Choose:

 11 From point P outside of a circle, two secants, , are drawn.  Angle P contains 32°, and minor arc    contains 50°.   Find the number of degrees in minor arc . Choose: 64 84 104 114

 12. Point P lies outside circle O, with diameter .  The angle formed by tangent and secant measures 30°.  Find the measure of minor arc .

 13. A ferris wheel is being illuminated by a spotlight for evening entertainment.  The spotlight is located such that a light beam strikes the wheel tangent at the points A and B.  A light beam also goes through the center of the wheel, O.   The , BC = 60 meters, and EC = 43.6 meters.Find the measure of the angle between the light beams and . Find the diameter of the ferris wheel to the nearest meter.

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