AGENDA: DG 16 --- 10 minutes10 minutes Notes Lesson 2 Unit 5 DG 17 Mon.

Slides:



Advertisements
Similar presentations
Objective: Convert between degrees and radians. Draw angles in standard form. Warm up Fill in the blanks. An angle is formed by two_____________ that have.
Advertisements

2.1 Angles and Their Measures
Angles and Radian Measure Section 4.1. Objectives Estimate the radian measure of an angle shown in a picture. Find a point on the unit circle given one.
Introduction A sector is the portion of a circle bounded by two radii and their intercepted arc. Previously, we thought of arc length as a fraction of.
3.2 Angle Measures in Degrees & Radians. Another way to measure angles is in radians. 360  = 2π rad.  180  = π rad. –To convert from degrees to radians:
Deriving the Formula for the Area of a Sector
Introduction to Radians (Definition, Converting Between Radians and Degrees, & When to use Degrees or Radians)
7.2 Radian Measure.
Copyright © 2003 Pearson Education, Inc. Slide Radian Measure, Arc Length, and Area Another way to measure angles is using what is called radians.
Radian and Degree Measure Objectives: Describe Angles Use Radian and Degree measures.
Angles – Part Converting Radians, Degrees & Degrees/Minutes/Seconds Circular Arcs Practice Problems.
Radian Measure Angles can be measured 3 ways: 1) Degrees (360 parts to a rotation) 1) Degrees (360 parts to a rotation) used for triangle applications.
Lesson 7-1 Angles, Arcs, and Sectors. Objective:
Converting between Degrees and Radians: Radian: the measure of an angle that, when drawn as a central angle of a circle, would intercept an arc whose.
13-3: Radian Measure Radian Measure There are 360º in a circle The circumference of a circle = 2r. So if the radius of a circle were 1, then there a.
13.3 Radian Measure A central angle of a circle is an angle with a vertex at the center of the circle. An intercepted arc is the portion of the circle.
Circumference & Arc Length. Circumference The distance around a circle C = 2r or d.
7.2 Central Angle & Arc Length. Arc Length  is the radian measure of the central angle s & r have same linear units r r s = Arc length  radians (not.
6.1.2 Angles. Converting to degrees Angles in radian measure do not always convert to angles in degrees without decimals, we must convert the decimal.
Section 5.2 – Central Angles and Arcs Objective To find the length of an arc, given the central angle Glossary Terms Arc – a part of a circle Central angle.
Copyright © 2011 Pearson Education, Inc. Radian Measure, Arc Length, and Area Section 1.2 Angles and the Trigonometric Functions.
Radian Measure. Many things can be measured using different units.
2.1 Continued! Warm-up Learning Objective: To understand what a radian is and how they relate to degrees to be able to convert radians to degrees and degrees.
Warm-Up Find the following. 1.) sin 30 ◦ 2.) cos 270 ◦ 3.) cos 135 ◦
Trigonometry #3 Radian Measures. Converting Degrees to Radians Angle measure In degrees.
Radian Measure of a Circle
R a d i a n M e a s u r e AREA. initial side terminal side radius of circle is r r r arc length is also r r This angle measures 1 radian Given a circle.
Lesson 8.7 Circumference and Area of Circles Pages
Angles and Their Measure. 1. Draw each angle (Similar to p.105 #11-22)
Chapter 4: Circular Functions Review for Lessons 1 & 2 Mrs. Parziale.
And because we are dealing with the unit circle here, we can say that for this special case, Remember:
RADIAN THE UNIT CIRCLE. REMEMBER Find the circumference of a circle that has a radius of 1. C = 2πr C = 2π(1) C = 2π.
Arc Length Start with the formula for radian measure … … and multiply both sides by r to get … Arc length = radius times angle measure in radians.
Copyright © 2011 Pearson, Inc. 4.1 Angles and Their Measures.
Angular measurement Objectives Be able to define the radian. Be able to convert angles from degrees into radians and vice versa.
Unit 1 – Degrees Decimals and Degrees, Minutes, Seconds (DMS) Conversions, and Unit Conversions -You will be able to convert from degrees decimals to degrees,
4.1 Radian and Degree Measure (part 2) V. Evaluating degrees° minutes’ seconds” (D°M’S”) A) The distance between two degrees (ex: 15°& 16°) can be 1) divided.
Radian Measure Advanced Geometry Circles Lesson 4.
Chapter 4: Circular Functions Lesson 2: Lengths of Arcs and Areas of Sectors Mrs. Parziale.
6.1 Angles and Radian Measure Objective: Change from radian to degree measure and vice versa. Find the length of an arc given the measure of the central.
Angles Arc Length Sector Area Section 4.1. Objectives I can find co-terminal angles I can convert between radian and degree measures I can calculate arc.
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.
Trigonometry Section 7.1 Find measures of angles and coterminal angle in degrees and radians Trigonometry means “triangle measurement”. There are two types.
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.
Warm-up Using a white board, draw and label a unit circle with all degree and radian measures.
Topic 11-2 Radian Measure. Definition of a Radian Radian is the measure of the arc of a unit circle. Unit circle is a circle with a radius of 1.
EQ: How do you convert from degrees to radians and from radians to degrees? Demonstrated in writing in performance task (Unit 5 Task 2). WARM UP Create.
More Trig - Radian Measure and Arc Length Warm-up Learning Objective: To convert from degree measure to radian measure and vice versa and to find arc length.
Unit Circle. Special Triangles Short Long Hypotenuse s s 2s Hypotenuse 45.
Warm Up Identify the parts of the circle 10 minutes End.
Objectives: You will be able to convert between radians and degrees, find arc lengths. You will be able to define a radian. Agenda: 1.Do Now 2.Angles-Vocabulary.
Section 3-4 Radian Measures of Angles. Definition: Radian Measure of an Angle.
Arcs, Sectors & Segments
ARC LENGTH.
Unit 5: Introduction to Trigonometry Lesson 5: Evaluate Trig Functions
Examples Radians & Degrees (part 2)
Arc length and area of a sector.
11–8A – Define Radian Measure
6.1 Radian and Degree Measure
Radian Measure of a Central Angle
16.2 Arc Length and Radian Measure
Measuring Angles in Radians
Section 4.1: Angles and Their Measures
Angles and Their Measures
6.1 Angles and Radian Measure
Unit #5: Introduction to Trigonometry
DO NOW-Opportunity to get 5 points on test
6.1 Angles and Their Measure
Unit 4: Circles and Volume
EQ: How do you convert angle measures in
Presentation transcript:

AGENDA: DG minutes10 minutes Notes Lesson 2 Unit 5 DG 17 Mon

EQ: How do you convert angle measures in radians to angle measure in degrees?

 Converting angle measures:

Ex. Convert each angle measure. Reduce all fractions.

 In Class Practice: Worksheet “ Angle Measure”

 Calculator Conversions Degrees, Minutes, Seconds

Ex. Convert degrees, minutes, seconds to decimal degrees and vice-versa ˚21˚15’22”

Arc length--- portion of a circle enclosed by 2 radii s = r θ where θ is the radian measure of the central angle.

Ex. Find the arc length given a radius of 8 and a central angle of. *** angle already in radian measure

Ex. A circle has a radius of 4 inches. Find the length of the major arc and the minor arc. Major Arc : Minor Arc :

ASSIGNMENT: textbook p. 292 – 293 #43 – 93 odd