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Circle Geometry: Inscribed Angles and Arcs Math Practice

Solve perimeter, angle, and arc problems in circles. Calculate inscribed angles, central angles, and arc measures. Practice examples and homework.

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Circle Geometry: Inscribed Angles and Arcs Math Practice

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  1. Day 4 Circles 11-3 Inscribed Angles

  2. Warm-Up • Find the perimeter • Find x: 3. Find x:

  3. HW Check • 72 2. 12 3. 10 4. 24 5. 8 6. 10.4 7. 8 8. BC=105, AB=116 9. 90 10. 4 11. ML=9, OP=18, OK=9 12. 110 13. 6

  4. Central Angle Has vertex at the center of the circle. P is the center of the circle. <TPQ is a vertex angle

  5. Arcs: Measure of minor arc = measure of the central angle. Measure of major arc = 360 – minor arc Ex 1: <BKC = 35 Find the measure of: • Minor Arc • Major Arc

  6. Inscribed Angle – has a vertex on the circle! Measure of an inscribed angle = ½ its arc. • Find the measure of JKL .

  7. Opposite angles of Quadrilateral inscribed in a circle are supplementary.

  8. 11-3 Examples

  9. Homework!

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