10-1/10-2 Circumference and Measuring Angles & Arcs

Slides:

Advertisements

Similar presentations

Geometry Honors Section 9.1 Segments and Arcs of Circles

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.

Parts of A Circle A circle is a curve on which every point is the same distance from the centre. This distance is called its radius. radius The circumference.

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.

Circle Geometry.

Circle. A Circle features……. … the distance around the Circle… … its PERIMETER Diameter … the distance across the circle, passing through the centre of.

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.

Circumference Around the circle. Arc Part of the circumference.

11-2 Chords and Arcs  Theorems: 11-4, 11-5, 11-6, 11-7, 11-8  Vocabulary: Chord.

Circles. Circle  Is the set of all points in a plane that are equal distance from the center. This circle is called Circle P. P.

The midpoint of a circle is centre The line drawn from the centre to the circumference is … radius.

9.3 Circles Objective: Students identify parts of a circle and find central angle measures.

Circles Presented by: Desiree Smith, Lauren Rudebush, Justin Dilmore.

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.

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.

Radius chord diameter secant tangent center. --the set of points in a plane equidistant from a given point known as the center.

Standard Understand and use properties of chords, tangents, and secants as an application of triangle similarity. b. Understand and use properties of central,

Unit 4 Circle Terminology Keystone Geometry.

Tangent and Chord Properties

Circles Vocabulary.

Unit 2 Day 5 Circle Vocabulary.

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

Circles Definitions.

10.6: Circles and Arcs. 10.6: Circles and Arcs.

Parts of Circles Dictionary

Circles and Circumference

PARTS OF A CIRCLE.

Tangent and Chord Properties

Circle Unit Notes AA1 CC.

Tangent and Chord Properties

Area of a Circular Segment

Lesson 10-1: Circle Terminology

12-2 Arcs and Chords.

Lesson 8-1: Circle Terminology

Circles 3/30/09.

Circle Unit Chapter 9.

Unit 6 Day 1 Circle Vocabulary.

Angles in Circle Notes Unit 5 Day 2.

All you need to know about Circles! By: Ms. Erwin

Unit 4: Circles and Volume

GEOMETRY Circle Terminology.

CIRCLES OBJECTIVE: Learn the basic terminology for circles and lines and segments associated with circles.

Introduction to Circle and other related terms

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.

Circle Vocabulary A Journey into the World of Circles…

Y. Davis Geometry Notes Chapter 10.

Circles and Arcs.

10.6 Circles & Arcs.

Unit 6 Day 1 Circle Vocabulary.

PARTS OF A CIRCLE.

Parts, Circumference, Area

Central Angles and Arc Measures

12.2 Chords & Arcs.

Circles and Circumference

Measuring Angles and Arcs

Circles Chapter 7 Section 7.6.

Circles and Circumference

11-3 Area of Circles and Sectors

Circles and Area.

Presentation transcript:

10-1/10-2 Circumference and Measuring Angles & Arcs Vocab: Circle: The set of all points equidistant from a given point Radius: A segment with endpoints at the center and on the circle Chord: A segment with endpoints on the circle Diameter: A segment with endpoints on the circle that passes through the center Arc: A portion of a circle defined by endpoints and a central angle Semicircle: Half a circle

Finding Circumference C = πd Ex 1: Find the circumference of a circle with diameter 12 Ex 2: Find the diameter and radius of a circle with circumference 106.4

Finding Measure of Central Angles The measure of a circle is 360° 𝐴𝐶 and 𝐸𝐵 are diameters of ⨀R. Identify each arc as a major arc, minor arc, or semicircle of the circle. Then find its measure. Ex 3: m 𝐸𝐴 Ex 4: m 𝐶𝐷𝐴

Real World Problem Ex 5: Yolanda has divided a circular apple pie into 4 slices by cutting the pie along 4 radii. The central angles of the 4 slices are 3x, 6x – 10, 4x + 10, and 5x degrees. What exactly are the numerical measures of the central angles?

Classwork/Homework P. 701 10-22 even, p. 710 12-24 even