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try to spot the illuminati on every slide Unit 8 Final Exam Review by Aaron Huang and Sean Ayerst Main Content ● ● ● ● ● ● ● ● Properties of Tangents Arc Measures Properties of Chords Use Inscribed Angles Walk-Around Problems Apply Other Relationships in Circles Angle-Arc Relationships with Algebra Find Segment Lengths in Circles 12 Examples... Easy: (this might take up a few slides)... Lol jk 9 what is this? 3 6 radius 46 Medium: Given that there are 3 tangent circles and the 3 points, A, B, and C are the centers. AB=8, BC=13, and AC=11 solve for the radii of all 3 circles. 4 9 7 Hard: Solve for x X 15 Answers… (this will take up a few slides) Easy: radius 46 This is an inscribed angle. It covers the same amount as the central angle but, an inscribed angle’s measure is only half of the arc length Because THIS is a central angle, arc measures will evidently equal their central angle Here’s a frog just cuz i needed to get rid of space (I know it’s a squid) Answers… (this will take up a few slides) Medium: Given that there are 3 tangent circles and the 3 points, A, B, and C are the centers. AB=8, BC=13, and AC=11 solve for the radii of all 3 circles. set this value as x 8 11 13 Answers… (this will take up a few slides) Hard: Solve for x First, set this as y 15² = 9(y + 16) 225 = 9y + 144 9y = 81 y=9 4 9 7 y x 15 4x = 7y 4x = 63 x = 15.75 Yay we’re finally done! Connections To Other units volume surface area inscribed triangles Real Life Applications volume of bouncy ball such as... or maybe... clock hands Garden I CAN SEEEE YOOUUUU and our guest... also including .... sprinkler radius the eye of Sauron Common Mistakes did you forget the pi? A = πr² DON’T FORGET circumference is πd or 2πr NOT πr The End Thank you for watching!