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Name: Block: Chapter 10 Circle Geometry Lesson #1 Exploring Angles in a Circle Circle Terminology Chord Central Angle Inscribed Angle Arc (of a circle) Relationships between angles in a circle Label the centre of the circle C. Construct a chord AB and a central angle BCA Create the inscribed angle BDA What is the measure of BDA ? How do the measures of BCA and BDA compare? Create a second inscribed angle BEA What is the measure of angle BEA ? Date: Math 9 Properties of a circle Inscribed Angles Inscribed angles subtended by the same arc are congruent Central and Inscribed The measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc. EXAMPLE #1 Determine the measure of ABC and AEC. Explain how you got your answers EXAMPLE #2 RIGHT ANGLES Determine the length of chord BC in each of the following. EXAMPLE #3 PROBLEM SOLVING Point C is the centre of a circular flowerbed with a radius of 8 m. The flowerbed is divided as shown in the diagram. If ABD = 45°, determine the length of AD to the nearest tenth. EXAMPLE #4 EXTRA PRACTICE Solve for the missing angles in each diagram Homework 1. Pg. 382 #3 - 8, 10 - 15, 18,19