Loading in 5 sec....

3.2 Angle Measures in Degrees & RadiansPowerPoint Presentation

3.2 Angle Measures in Degrees & Radians

- By
**errin** - Follow User

- 93 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' 3.2 Angle Measures in Degrees & Radians' - errin

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

Another way to measure angles is in radians.

360 = 2π rad.

180 = π rad.

–To convert from degrees to radians:

Multiply the number of degrees by

–To convert from radians to degrees:

Multiply the number of radians by

(Hint: to remember which one, think about what you want to cancel – that one goes on the bottom!)

Ex 1) Express each angle measure in radians (in terms of π)

a) 135

b) –150

Ex 2) Express each angle measure in degrees (nearest tenth)

a)

b) 5.1

Arc length of a circle of radius r determined by central angle θ (in radians) is:

s

r

(s & r have same units)

Ex 3) Find the arc length to the nearest tenth of a cm of a circle of radius 7 cm that is intercepted by a central angle of 85

85° (convert to rad.)

Ex 4) A pendulum swings through an angle of rad. describing an arc of 0.4 m long. Determine the length of the pendulum to the nearest tenth.

0.4

sector of a circle describing an arc of 0.4 m long. Determine the length of the pendulum to the nearest tenth.

to find its area, we make a proportion

θ

r

Ex 5) Determine the area (to the nearest tenth of a sq. meter) of the sector of a circle of radius 1.6 m intercepted by a central angle of 45°

Homework meter) of the sector of a circle of radius 1.6 m intercepted by a central angle of 45°

#302 Pg 130 #1–47 odd

Download Presentation

Connecting to Server..