Goal: The learner to use angle measures to find arc measures.

Slides:

Advertisements

Similar presentations

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.

Advertisements

10-6 CIRCLES AND ARCS Objective: To find the measures of central angles and arcs. To find the circumference and arc length.

Unit 6 Day 1 Circle Vocabulary. In your pairs look up the definitions for your vocabulary words.

Chapter 10 Properties of Circles

10.2 Arcs and Chords Central angle Minor Arc Major Arc.

Arcs and Chords lesson 10.2a California State Standards 4: Prove theorems involving congruence and similarity 7: Prove/use theorems involving 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.

11-3 Inscribed Angles Objective: To find the measure of an inscribed angle.

Section 9-3 Arcs and central angles Central angle §An angle with its vertex at the center of the circle.

Warm-Up Exercises ANSWER x = 60; y = 60 ANSWER x = 35; y = Find x and y. 2.

L.E.Q. How do you find the measures of central angles and arcs?

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)

 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.

MM2G3 Students will understand properties of circles. MM2G3 a Understand and use properties of chords, tangents, and secants as an application of triangle.

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: Circles Find Arc Measures. Definitions Central Angle – of a circle is an angle whose vertex is the center of a circle Minor Arc – of.

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.

Geometry Section 10-2 Find Arc Measures.

10.2 Find Arc Measures Hubarth Geometry. The measures of a minor arc and a major arc depend on the central angle of the minor arc. Minor arc is less than.

EXAMPLE 1 Find measures of arcs RS a. RTS b. RST c. SOLUTION RS is a minor arc, so mRS = m RPS = 110 o. a. RTS is a major arc, so mRTS = 360 o 110 o =

PROPERTIES OF CIRCLES Chapter – Use Properties of Tangents Circle Set of all points in a plan that are equidistant from a given point called.

Chapter 7 Circles. Circle – the set of all points in a plane at a given distance from a given point in the plane. Named by the center. Radius – a segment.

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.

Chapter 10 Properties of Circles Mrs. Pullo February 29, 2016.

Circles Vocabulary.

Unit 2 Day 5 Circle Vocabulary.

WARM UP Graph y = -2/3x + 5.

Copyright © 2014 Pearson Education, Inc.

Angles of a Circle Lesson 1 – 2 Math iii.

Find Arc measures 10.2.

1. Find x and y. ANSWER x = 60; y = ANSWER x = 35; y = 35.

Circles Definitions.

10.2 Find Arc Measures Hubarth Geometry.

Warm – up Find the radius of the circle given the picture below.

Find Arc Measures Warm Up Lesson Presentation Lesson Quiz.

1. Find x and y. ANSWER x = 60; y = ANSWER x = 35; y = 35.

Arcs and Central Angles

Obj: Use angle measures to find arc measures

10.2 Finding Arc Measures.

Circle Unit Notes AA1 CC.

Arcs and Central Angles

Central angle Minor Arc Major Arc

1. Find the x-intercept of the graph of y = x2 – 11x a. -3,-5

1. Find x and y. 2. ANSWER x = 60; y = 60 ANSWER x = 35; y = 35.

EXAMPLE 1 Find measures of arcs

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

Chapter 9 Section 3 (Arcs and Central Angles) Central Angle:

Unit 4: Circles and Volume

Module 19: Lesson 1 Central Angles & Inscribed Angles

4.1 Equations of circles Arcs, Inscribed Angles, Central Angles

Introduction to Circle and other related terms

Circles and Arcs.

Unit 6 Day 1 Circle Vocabulary.

Central Angles and Arc Measures

Lesson 8-4: Arcs and Chords

Geometry Section I can find the measure of arcs in a circle give a central angle and a diameter.

Measuring Angles and Arcs

Circles Chapter 7 Section 7.6.

Section 10.2 Arcs and Chords.

Presentation transcript:

Goal: The learner to use angle measures to find arc measures. Lesson 10.2 Goal: The learner to use angle measures to find arc measures.

Vocabulary Central Angle: Angle whose vertex is the center of the circle. Minor Arc: 𝑚∠𝐴𝐵𝐶 is less than 180˚ Major Arc: 𝑚∠𝐴𝐵𝐶 is more than 180˚ Semicircle: half the circle. A B C D

Measuring Arcs The measure of the arc is equal to the central angle that intersects the arc. 𝑚 𝐴𝐵= A B 50˚

Find the measures Find the measure of each arc of P, where RT is a diameter. RST c. RS a. RTS b.

Finding the measure of arcs A recent survey asked teenagers if they would rather meet a famous musician, athlete, actor, inventor, or other person. The results are shown in the circle graph. Find the indicated arc measures. a. mAC b. mACD c. mADC d. mEBD

Congruent Circles and Arcs Congruent circles: two circles with the same radius. Congruent arcs: two arcs are congruent if they have the same measure and they arcs of the same circle or congruent circles.

Identify Congruent Arcs b. c.

Assignment P.661 #3-10,12-14, 22