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

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

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

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

Holt Geometry 11-2 Arcs and Chords

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.

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

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.

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

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

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

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.

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

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

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

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

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

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

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 

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