10.6 and 10.7 Circles and Sectors. Words… Circle: the set of all points equidistant from a given point called the center (name a circle by its center)

Slides:

Advertisements

Similar presentations

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.

Advertisements

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.

Bell work Find the value of radius, x, if the diameter of a circle is 25 ft. 25 ft x.

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

You will find the central angle, the arc and the arc length of a circle.

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

Unit 8: Applying Formulas Sections: 10-3, 10-5, 10-6, , 11-4, 11-5, and 11-6.

Geometry Arcs and Chords September 13, 2015 Goals  Identify arcs & chords in circles  Compute arc measures and angle measures.

Sect Arcs and Chords Goal 1 Using Arcs of Circles Goal 2 Using chords of Circles.

Lesson 8-1: Circle Terminology

and Objective: Find the measures of central angles and arcs.

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

Geometry – Arcs, Central Angles, and Chords An arc is part of a circle. There are three types you need to understand: P Semicircle – exactly half of a.

Lesson 8-2: Formulas 1 Lesson 8-2 Formulas Circumference Arc Length Area Sector.

Chapter Circle  A set of all points equidistant from the center.

11.4 Circumference and Arc Length

Lesson 8-2: Formulas 1 Lesson 8-2 Formulas Circumference Arc Length Area Sector.

+ Circles and Arcs Objective: To find the measure of central angles and arcs. To find circumference and arc length.

What’s a skey? Defining Circle Terms Use the examples and non-examples to write a good definition for each boldfaced term.

Chapter 10: Area 10.7 Areas of Circles & Sectors.

Geometry Warm Up CIRCLES AND ARCS Objective: To find the circumference and arc length.

Learning Target: I can find the measures of central angles and arcs. I can find circumference and arc length.

Chapter 7 Lesson 6 Objective: To find the measures of central angles and arcs and the circumference.

Arc Lengths By the end of today, you will know about arcs and their measures and be able to do operations involving them.

Warm up: 1.A _______________ is the set of all points equidistant from a given point called the _______________. 2.A _______________ is a segment that.

Essential UnderstandingEssential Understanding  You can find the length of part of a circle’s circumferences by relating it to an angle in the circle.

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.

Circles…… Area and Circumference The Circumference of a Circle Find the circumference of the following circles. C =  d C = 2  r 8 cm cm 2 C =

Chapter 10.2 Notes: Find Arc Measures Goal: You will use angle measures to find arc measures.

Geometry Section 10-2 Find Arc Measures.

Section 10.2 – Arcs and Chords

Sector of a Circle Section  If a circle has a radius of 2 inches, then what is its circumference?  What is the length of the arc 172 o around.

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.

AGENDA KAHOOT REVIEW LESSON 81 WORK TIME. LESSON 81: CENTRAL ANGLES AND ARCS Central Angle: an angle whose vertex is the center of the circle.

Geometry 7-7 Areas of Circles and Sectors. Review.

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.

10.6/10.7 Circles, Arcs, Segments, and Sectors

Unit 2 Day 5 Circle Vocabulary.

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

Area of Circles Chapter 7B.

Practice Quiz Circles.

Warm Up Make a list of activities you take part in each day. Give each activity a percentage value which represents the amount of time you spend doing.

Copyright © 2014 Pearson Education, Inc.

Find Arc measures 10.2.

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

Bell Work: Add the trinomials: x + y – 2 and x – y + 4

Arcs and Central Angles

Geometry – Arcs, Central Angles, and Chords

Circle Unit Notes AA1 CC.

10.2 Arc Measures.

Circles 3/30/09.

Unit 6 Day 1 Circle Vocabulary.

Arcs of a Circle.

Section 10.2 Arcs and Chords.

and 10.6 Circles Arcs Objective: Find the measures

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

Module 19: Lesson 1 Central Angles & Inscribed Angles

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.

Central Angles and Arc Length

Circles and Arcs Skill 46.

Circles and Arcs.

10.6 Circles & Arcs.

Unit 6 Day 1 Circle Vocabulary.

Central Angles and Arc Measures

Lesson 8-2 Formulas Circumference Arc Length Area Sector.

and Circles Arcs Objective: Find the measures

Measuring Angles and Arcs

Section 10.2 Arcs and Chords.

Presentation transcript:

10.6 and 10.7 Circles and Sectors

Words… Circle: the set of all points equidistant from a given point called the center (name a circle by its center) P radius diameter Central angle – an angle whose vertex is the center of the circle.

Arcs… Semicircle – an arc that is half the circle Minor arc – smaller than a semicircle Major arc – greater than a semicircle

Identify… Minor arcs: Semicircles: Major arcs that contain point A:

Measures… Name and find the measure of a minor arc: Name and find the measure of a major arc:

Arc Length… THEOREM 10.9: Circumference of a Circle The circumference of a circle is times the diameter. THEOREM 10.10: Arc Length

Arc Length… Find the length of each arc shown in red. Leave your answer in terms of.

Area… THEOREM 10.11: Area of a Circle The area of a circle is the product of and the square of the radius. THEOREM 10.12: Area of a Sector of a Circle

Area… Find the area of a circle with a 12-inch diameter. Find the area of sector ZOM. Leave your answer in terms of.

Recap… Use the circle to the right to answer the following. 1) Find 2) Find 3) Find the area of circle O. 4) Find the length of ABC 5) Find the area of sector AOC

10.6 and 10.7 Circles and Sectors HW: p. 570 #9-31 odd, p. 577 #1-4, 7-12 QUIZ TMW