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Math 12 Advanced Circle Geometry – Angles and Arcs Two Solve for the indicated variables. Centre of circle marked with a C unless otherwise stated. Make sure you can give reasons for your answers. 1. 2. Find the measure of each of the variables indicated – give reasons for your answers. ( for center) a) All angles and arcs. b) x, y and z c) x, arc AB A 50 50 x + 20 x B C y D x x yy C x 50 z A B 3. P, Q, R and S are points on a circle (in order) such that PSR = 70, PQS = 60 and QPS = 75. Sketch and determine the measure of: a) PRS b) PRQ c) QRS d) arcs PQ, QR, RS and SP 4. An inscribed angle measures 80 and is subtended by a chord 6 cm in length. Determine the measure of the radius of the circle? (I love to throw in a little trig) 5. In the diagram provided EF // GH, prove EMF and GMH are isosceles. E F M M G H

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