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Understanding Arc Measures and Vertex Positions in Circles: A Comprehensive Guide

Dive into the essentials of solving arc measures in circles with various vertex positions. This resource covers different scenarios: when the vertex is inside, on, or outside the circle. Through engaging examples and practice problems, learn to calculate the missing angles and understand the relationships between arcs and angles based on vertex placement. Complete with a review of key formulas, it's designed to enhance your grasp of circular geometry. Get ready to tackle circle problems with confidence!

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Understanding Arc Measures and Vertex Positions in Circles: A Comprehensive Guide

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  1. Warm Up 1. Solve for arc ABC 244 2. Solve for x and y. x = 105 y = 100

  2. Review HW

  3. Wheel of Formulas!!

  4. Vertex is INSIDE the Circle NOT at the Center

  5. Ex. 1 Solve for x 88° 84° X x= 100°

  6. Ex. 2 Solve for x. 93 xº 45 89 x = 89

  7. Vertex is OUTside the Circle

  8. Ex. 3 Solve for x. x 15° 65° x = 25°

  9. Ex. 4 Solve for x. 27° x 70° x= 16°

  10. Ex. 5 Solve for x. 260° x x = 80°

  11. Tune: If You’re Happy and You Know It • If the vertex is ON the circle halfthe arc. <clap, clap> • If the vertex is INside the circle half the sum. <clap, clap> • But if the vertex is OUTside, then you’re in for a ride, cause it’s half of the differenceanyway. <clap, clap>

  12. Classwork CSI Problems: 6problems

  13. HW: Mama Lion Worksheet16 problems

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