Practice with Angles in Circles - Tangent/Chord and Intersecting Chords 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 tangent , find x. Choose: 30 60 120 240

 2 Given tangent , find x. Choose: 25 50 100 260

 3 Given tangent , find x. Hint:  Find y first. Choose: 72 108 144 216

 4 Given tangent , find x. Hint:  Find y first. Choose: 30 60 150 300

 5 Given two intersecting chords, find x. Choose: 20 40 60 80

 6 Given diameter and chord, find x. Choose: 30 50 100 110

 7 Given diameter perpendicular to a chord, find x. Choose: 30 60 90 120

 8 Given diameter perpendicular to a chord, find y. Choose: 30 60 90 180

 9 The segment through point A is tangent to the circle at A. Find x. Choose: 54 72 108 144

 10 Two chords intersect within a circle to form an angle whose measure is 53°.  If the intercepted arcs are represented by  3x + 3 and 10x - 14, find the measure of larger of these two arcs. Choose: 9 13 30 76

 11 A small round plate falls off of the china closet and breaks.  The diagram below shows one of the broken pieces.  is tangent to at B and degrees.  What is the measure in degrees of the arc , the outside edge of the broken piece? Choose: 45 60 90 180

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