Presentation is loading. Please wait.

Presentation is loading. Please wait.

Angles – Part 2 33 22 11 Converting Radians, Degrees & Degrees/Minutes/Seconds Circular Arcs Practice Problems.

Published byAugustine Burke Modified over 9 years ago

Similar presentations

Presentation on theme: "Angles – Part 2 33 22 11 Converting Radians, Degrees & Degrees/Minutes/Seconds Circular Arcs Practice Problems."— Presentation transcript:

1 Angles – Part 2 33 22 11 Converting Radians, Degrees & Degrees/Minutes/Seconds Circular Arcs Practice Problems

2 Converting Between Radians and Degrees To ChangeMultiply byExample 2

3 Converting Decimal Degrees to Degrees/Minutes/Seconds D˚ M’ S” = D˚ + ˚ + ˚ Example: Convert 19˚ 47’ 23” to decimal degrees. 3

4 Converting Radians to Degrees/Minutes/Seconds  Convert radians to decimal degrees  Non-decimal portion is in degrees  Multiply decimal portion by 60’  Non-decimal portion is minutes  Multiply decimal portion by 60” & round  Seconds 4

5 Converting Radians to Degrees/Minutes/Seconds (Cont.) Example: If Q =3 radians, approximate Q in terms of degrees/minutes/seconds. 5

6 Length of a Circular Arc 6

7 Example 7

8 Area of a Circular Arc 8

9 Example 9

10 Practice Problems  Page 409 Problems 9-37 10

Download ppt "Angles – Part 2 33 22 11 Converting Radians, Degrees & Degrees/Minutes/Seconds Circular Arcs Practice Problems."

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.

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.
Angles and Their Measure Section 3.1. Objectives Convert between degrees, minutes, and seconds (DMS) and decimal forms for angles. Find the arc length.

Angles and Their Measure Section 3.1. Objectives Convert between degrees, minutes, and seconds (DMS) and decimal forms for angles. Find the arc length.
1 What you will learn  What radian measure is  How to change from radian measure to degree measure and vice versa  How to find the length of an arc.

1 What you will learn  What radian measure is  How to change from radian measure to degree measure and vice versa  How to find the length of an arc.
Angles and Radian Measure. 4.1 – Angles and Radian Measure An angle is formed by rotating a ray around its endpoint. The original position of the ray.

Angles and Radian Measure. 4.1 – Angles and Radian Measure An angle is formed by rotating a ray around its endpoint. The original position of the ray.
Section 4.1 Angles and Radian Measure. The Vocabulary of Angles An angle is formed by two rays that have a common endpoint. One ray is called the initial.

Section 4.1 Angles and Radian Measure. The Vocabulary of Angles An angle is formed by two rays that have a common endpoint. One ray is called the initial.
Radians In a circle of radius 1 unit, the angle  subtended at the centre of the circle by the arc of length 1 unit is called 1 radian, written as 1 rad.

Radians In a circle of radius 1 unit, the angle  subtended at the centre of the circle by the arc of length 1 unit is called 1 radian, written as 1 rad.
Deriving the Formula for the Area of a Sector

Deriving the Formula for the Area of a Sector
Converting Degree Measure to Radian Measure Convert to radian measure: a) 210 0 180 0  or  π rad ≈ 3.67 Exact radian Approximate radian b) - 315 0 To.

Converting Degree Measure to Radian Measure Convert to radian measure: a)  or  π rad ≈ 3.67 Exact radian Approximate radian b) To.
What is a RADIAN?!?!.

What is a RADIAN?!?!.
Section5.1 Angles and Their Measure. Angles Measuring Angles Using Degrees.

Section5.1 Angles and Their Measure. Angles Measuring Angles Using Degrees.
7.2 Radian Measure.

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

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

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.
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.

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.
13.2 – Define General Angles and Use Radian Measure.

13.2 – Define General Angles and Use Radian Measure.
Warm-Up Find the following. 1.) sin 30 ◦ 2.) cos 270 ◦ 3.) cos 135 ◦

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.

Trigonometry #3 Radian Measures. Converting Degrees to Radians Angle measure In degrees.
Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 3 Radian Measure and the Unit Circle Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1.

Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 3 Radian Measure and the Unit Circle Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1.
3 Radian Measure and Circular Functions © 2008 Pearson Addison-Wesley. All rights reserved.

3 Radian Measure and Circular Functions © 2008 Pearson Addison-Wesley. All rights reserved.

Similar presentations

Ads by Google