1. Holt Geometry 11-2 Arcs and Chords 11-2 Arcs and Chords Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz

2. Holt Geometry 11-2 Arcs and Chords Apply properties of arcs. Find the Circumference of Circles. Objectives

3. Holt Geometry 11-2 Arcs and Chords central anglesemicircle arcadjacent arcs minor arccongruent arcs major arc Vocabulary

4. Holt Geometry 11-2 Arcs and Chords A central angle is an angle whose vertex is the center of a circle. An arc is an unbroken part of a circle consisting of two points called the endpoints and all the points on the circle between them. Note 70

5. Holt Geometry 11-2 Arcs and Chords

6. Holt Geometry 11-2 Arcs and Chords Example 1: Data Application The circle graph shows the types of grass planted in the yards of one neighborhood. Find mKLF.

7. Holt Geometry 11-2 Arcs and Chords Check It Out! Example 1 Use the graph to find each of the following. a. mFMC b. mAHB c. mEMD

8. Holt Geometry 11-2 Arcs and Chords Adjacent arcs are arcs of the same circle that intersect at exactly one point. RS and ST are adjacent arcs.

9. Holt Geometry 11-2 Arcs and Chords Example 2: Using the Arc Addition Postulate Find mBD.

10. Holt Geometry 11-2 Arcs and Chords Check It Out! Example 2a Find each measure. mJKL

11. Holt Geometry 11-2 Arcs and Chords Check It Out! Example 2b Find each measure. mLJN

12. Holt Geometry 11-2 Arcs and Chords Within a circle or congruent circles, congruent arcs are two arcs that have the same measure. In the figure ST  UV.

13. Holt Geometry 11-2 Arcs and Chords The Circumference of a circle can be found by using on of the formulas: C = r or C = d

14. Holt Geometry 11-2 Arcs and Chords Find the circumference of circle P if JM = 12cm

15. Holt Geometry 11-2 Arcs and Chords The length of an arc is a fraction of the circumference of the circle.

16. Holt Geometry 11-2 Arcs and Chords Find each arc length. Give answers in terms of . Example 4A: Finding Arc Length FG

17. Holt Geometry 11-2 Arcs and Chords Find each arc length. Give answers in terms of . Example 4B: Finding Arc Length an arc with measure 62 in a circle with radius 2 m

18. Holt Geometry 11-2 Arcs and Chords Check It Out! Example 4a Find each arc length. Give your answer in terms of . GH

19. Holt Geometry 11-2 Arcs and Chords Lesson Quiz: Part I 1. The circle graph shows the types of cuisine available in a city. Find mTRQ. 158.4

20. Holt Geometry 11-2 Arcs and Chords Lesson Quiz: Part III Find each measure. Give answers in terms of  2. Length of NP 3. Circumference of circle Q 4. Measure of LMP