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Warm-Up

Warm-Up. Blue. Brown. What is the total angle measure of a circle? 2)If the spinner on the right is split into 5 equal parts, what is the angle measure of the red section? 3)What is the total angle measure of the yellow and green parts together?. Orange. Green. Yellow.

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Warm-Up

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  1. Warm-Up Blue Brown • What is the total angle measure of a circle? • 2)If the spinner on the right is split into 5 equal parts, what is the angle measure of the red section? • 3)What is the total angle measure of the yellow and green parts together? Orange Green Yellow

  2. Lesson 10.2: Arc Measures An angle whose vertex is at the center of the circle. Central Angle: D Arc: A part of the circumference of the circle. C A An arc in which its central angle Is less than 180o Minor Arc: B Major Arc: An arc in which its central angle is greater than 180o Semicircle: An arc with endpoints that are the endpoints of the diameter and it equals 180o

  3. Now you try!  Determine whether the arc is a Minor Arc, Major Arc, or a Semicircle. BC and DE are diameters of Circle O. D Minor Arc 1. CD C Major Arc 2. DCB A O Semicircle 3. ECD B Major Arc 4. ADB E Minor Arc 5. EBA

  4. Addition of Arcs The measure of an arc formed by Two adjacent arcs is the sum of The measures of the two arcs. D DCB = DC + CB C A B

  5. Now You Try!  Find the measures of the following arcs and identify them as major arcs, minor arcs or semicircles 125o Minor Arc 1) LM 55o 2) LMK 305o Major Arc 180o Semicircle 3) KLM

  6. Try this now: Find the measures of the arcs Several students were recently asked about their favorite color. The results are shown in the graph. Find the indicated arc measures. a) mRT 135o 285o b) mPRT 260o c) mRTQ d) mSTQ 245o

  7. Circles are congruent if they have the same radius Tell whether the highlighted arcs are congruent. Explain why or why not. a) b) No; Different Radii Yes; Same Circle C) Yes; congruent radii GF~ GF

  8. Homework: Pages 661 – 663 #1-17, 22-24

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