1 / 19

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.

conley
Download Presentation

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

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related