Presentation is loading. Please wait.

Presentation is loading. Please wait.

Radian Measure of a Circle another way to measure angles!

Published byAbigayle Gordon Modified over 8 years ago

Similar presentations

Presentation on theme: "Radian Measure of a Circle another way to measure angles!"— Presentation transcript:

1 Radian Measure of a Circle another way to measure angles!

2 Opener: What is the circumference of a tire with a radius of 18”? How many complete revolutions does the tire make over 1000 feet?

3 What is a radian????

4

5 How to convert from …

6 Convert 235 degrees to radians: 235°{————}= radians

7

8 State your answer in terms of π! If you walk around a circular track with a radius of 100m a total of eight times, how many radians will you have traveled? What if the radius of the track were 1000m instead of 100m?

9

10 Tonight’sHomework

Download ppt "Radian Measure of a Circle another way to measure angles!"

Similar presentations

Finding Circumference

Finding Circumference
Chapter 4: Circular Functions Lesson 1: Measures of Angles and Rotations Mrs. Parziale.

Chapter 4: Circular Functions Lesson 1: Measures of Angles and Rotations Mrs. Parziale.
2.1 Angles and Their Measures

2.1 Angles and Their Measures
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.
4-1 Review 1. Convert -4.2 radians to degrees

4-1 Review 1. Convert -4.2 radians to degrees
Pg. 472 Homework Pg. 324#70 – 76 all #1ɣ = 68°, b = 3.88, c = 6.61 #2α = 35.97°, ɣ = 34.03°, c = 4.76 #3 = 113.50°, b = 27.55, c = 18.16 #4No triangle.

Pg. 472 Homework Pg. 324#70 – 76 all #1ɣ = 68°, b = 3.88, c = 6.61 #2α = 35.97°, ɣ = 34.03°, c = 4.76 #3 = °, b = 27.55, c = #4No triangle.
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.

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.
Sec 6.1 Angle Measure Objectives:

Sec 6.1 Angle Measure Objectives:
TODAY IN GEOMETRY…  Warm up: Writing equations of a circle  Learning Target : 11.4 You will find the arc length and circumferences of circles  Independent.

TODAY IN GEOMETRY…  Warm up: Writing equations of a circle  Learning Target : 11.4 You will find the arc length and circumferences of circles  Independent.
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.
What is a RADIAN?!?!.

What is a RADIAN?!?!.
7.2 Radian Measure.

7.2 Radian Measure.
8.1 RADIANS AND ARC LENGTH Functions Modeling Change: A Preparation for Calculus, 4th Edition, 2011, Connally.

8.1 RADIANS AND ARC LENGTH Functions Modeling Change: A Preparation for Calculus, 4th Edition, 2011, Connally.
Day 2 Students will be able to convert between radians and degrees. Revolutions, Degrees, and Radians.

Day 2 Students will be able to convert between radians and degrees. Revolutions, Degrees, and Radians.
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.
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.

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.

Circumference & Arc Length. Circumference The distance around a circle C = 2r or d.
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.
Radian Measure. Many things can be measured using different units.

Radian Measure. Many things can be measured using different units.
Try describing the angle of the shaded areas without using degrees.

Try describing the angle of the shaded areas without using degrees.

Similar presentations

Ads by Google