Section 10 – 2 Find Arc Measures. Vocabulary Central Angle – An angle whose vertex is the center of the circle. Minor Arc – An arc whose measurement is.

Slides:



Advertisements
Similar presentations
ARCS AND CENTRAL ANGLES
Advertisements

Circles. Parts of a Circle Circle A circle is the set of all points in a plane that are a given distance from a given point in the plane, called the.
Pg 603.  An angle whose vertex is the center of the circle.
1 9 – 3 Arcs and Central Angles. 2 Arcs and Central Angles A central angle of a circle is an angle with its vertex at the center of the circle. O Y Z.
12.2 Arcs and Chords.  Apply properties of Arcs  Apply properties of Chords.
Agenda: 4/12/11 Warm - up Lesson 11-2: Arcs and Central Angles (p. 462) Vocabulary Examples Classwork Homework: Page 466 #’s 13 – 35 (all) Page 467.
10-6 CIRCLES AND ARCS Objective: To find the measures of central angles and arcs. To find the circumference and arc length.
Geometry Section 10.2 Arcs & Chords
Unit 6 Day 1 Circle Vocabulary. In your pairs look up the definitions for your vocabulary words.
Geometry Arcs and Chords September 13, 2015 Goals  Identify arcs & chords in circles  Compute arc measures and angle measures.
10.2 Arcs and Chords Central angle Minor Arc Major Arc.
Sect Arcs and Chords Goal 1 Using Arcs of Circles Goal 2 Using chords of Circles.
Section 9-3 Arcs and Central Angles. Central angle An angle with its vertex at the center of a circle. is a central angle Circle B.
Section 9-3 Arcs and central angles Central angle §An angle with its vertex at the center of the circle.
6.3 – 6.4 Properties of Chords and Inscribed Angles.
11.1 Angles and Circles Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles. Warm-up (IN)
What’s a skey? Defining Circle Terms Use the examples and non-examples to write a good definition for each boldfaced term.
 A circle is defined by it’s center and all points equally distant from that center.  You name a circle according to it’s center point.  The radius.
9.3 Arcs and Central Angles
Arc Lengths By the end of today, you will know about arcs and their measures and be able to do operations involving them.
Chapter 10: Area 10.6 Circles & Arcs. Definitions circle: set of all points equidistant from a given point center: point that is equidistant from the.
Lesson 10.2 Arcs and Chords. Arcs of Circles Central Angle-angle whose vertex is the center of the circle. central angle.
November 19,  A central angle of a circle is an angle with its vertex at the center of the circle.  The figurebelow illustrates.
6.2 Find Arc Measures. Vocabulary A central angle of a circle is an angle whose vertex is the center of the circle. A semicircle is an arc with endpoints.
Chapter 10.2 Notes: Find Arc Measures Goal: You will use angle measures to find arc measures.
Answers to Homework CE: 1) a) 2 b) 2 c) 2 d) 2 e) 1 f) 0 2) a) 2 b) 1 c)-f) 0 3. a) B b) E Written Ex: 2) 2√34 4) 15 6) 12 8) a) 72 b) 18 c) 144.
Geometry Section 10-2 Find Arc Measures.
GeometryGeometry 10.2 Finding Arc Measures 2/24/2010.
Chapter 7 Lesson 6 Objective: To find the measures of central angles and arcs.
Circles Modified by Lisa Palen. Definitions Circle The CENTER of the circle is the point that is the same distance to every point on the circle. The distance.
A circle can be named by its center using the  symbol. A circle with a center labeled C would be named  C. An unbroken part of a circle is called an.
Geometry 7-6 Circles, Arcs, Circumference and Arc Length.
Entry Task Circles and Arcs What is a circle? Circle The set of all points in a plane that are the same distance from a given point (this point.
Unit 9 Standard 9a Arcs and Chords Learning Target: I can use properties of arcs and chords of a circle to find measurements.
Circles and Arcs. General Vocabulary: CIRCLE: the set of all points equidistant from a given point called the CENTER RADIUS: a segment that has one point.
Arcs and Chords Goal 1 Using Arcs of Circles
Circles Vocabulary.
Copyright © 2014 Pearson Education, Inc.
Find Arc measures 10.2.
Circle Basics.
Circles.
10.6: Circles and Arcs. 10.6: Circles and Arcs.
Warm – up Find the radius of the circle given the picture below.
Arcs and Central Angles
Arcs and Central Angles
Obj: Use angle measures to find arc measures
Circle Unit Notes AA1 CC.
Arcs and Central Angles
Central angle Minor Arc Major Arc
10.2 Arc Measures.
Circles 3/30/09.
Central angle Minor Arc Major Arc
Unit 6 Day 1 Circle Vocabulary.
Arcs of a Circle.
Section 10.2 Arcs and Chords.
10.2 Vocabulary central angle semicircle arc adjacent arcs
Warmup  .
Chapter 9 Section 3 (Arcs and Central Angles) Central Angle:
Unit 4: Circles and Volume
Module 19: Lesson 1 Central Angles & Inscribed Angles
CIRCLES OBJECTIVE: Learn the basic terminology for circles and lines and segments associated with circles.
Bellringer Have Worksheet from Monday (plus p. 767 #6 – 8, 18 – 19 on back) and Notes out on your Desk Work on p. 779 #44 – 45.
Circles and Arcs Skill 46.
Circles and Arcs.
Central Angles and Arc Measures
10.2 Measuring Angles and Arcs Reitz High School.
9-2 Angles and Arcs Objectives:
Measuring Angles and Arcs
Circles Chapter 7 Section 7.6.
Section 10.2 Arcs and Chords.
Presentation transcript:

Section 10 – 2 Find Arc Measures

Vocabulary Central Angle – An angle whose vertex is the center of the circle. Minor Arc – An arc whose measurement is less than 180°. Major Arc – An arc whose measurement is greater than 180°. is a central angle of

Vocabulary Semicircle – An arc with endpoints of a diameter and whose measurement is 180°. is a semicircle.

Vocabulary Measure of Whole Circle is: 360° Measure of Semicircle is: 180° Measure of Minor Arc is the measure of the CENTRAL ANGLE! Measure of Major Arc is the difference between 360° and the CENTRAL ANGLE!

Arc Addition Postulate (Post 23) The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.

Example 1

Example 2

Example 3

Homework Section 10-2 Page 661 – 663 1, 3 – 14, 17, 22 – 24, 29 – 34