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Unit Question: What are the properties and characteristics of circles?

Unit Question: What are the properties and characteristics of circles?. Today’s Question: How does the measure of an arc compare to the measure of its central angle?. Chapter 11 Circles. C. 11.1 Parts of a Circle.

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Unit Question: What are the properties and characteristics of circles?

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  1. Unit Question:What are the properties and characteristics of circles? Today’s Question: How does the measure of an arc compare to the measure of its central angle?

  2. Chapter 11 Circles

  3. C 11.1 Parts of a Circle Circle – set of all points _________ from a given point called the _____ of the circle. equidistant C center Symbol:

  4. 11.1 Parts of a Circle RADIUS= distance from the _____ to a point on the circle center P

  5. CHORD: a segment whose ________ are on the circle endpoints

  6. Diameter DIAMETER: distance ______ the circle through its ______ across P center Also known as the longest chord.

  7. What is the relationship between the diameter and the radius of a circle? r = OR D = ½ D 2 r

  8. D = ? 24 32 12 r = ? 16 r = ? 4.5 6 D = ? 12 9

  9. Q R P S T Use P to determine whether each statement is true or false.

  10. Same center but different radii Concentric Circles

  11. Q R P S T Ex. 4 14

  12. Q R P S T Ex. 5 18

  13. Arcs and Section 11.2 Central Angles

  14. Central Angle : An Angle whose vertex is at the center of the circle ACB AB A Minor Arc Major Arc Less than 180° More than 180° P To name: use 3 letters C B To name: use 2 letters <APB is a Central Angle

  15. EDF Semicircle: An Arc that equals 180° E D P F To name: use 3 letters

  16. Measure of an arc is equal to the measure of the central angle

  17. THINGS TO KNOW AND REMEMBER ALWAYS A circle has 360 degrees A semicircle has 180 degrees Vertical Angles are Equal

  18. Find the measure of an the following arcs. EB is a diameter. m AB m ACB m AE A E 96 = 96 Q = 264 B C = 84

  19. m DAB = Tell me the measure of the following arcs. 240 D A 140 m BCA = 260 R 40 100 80 C B

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