Radian measure
Download
1 / 6

Radian Measure - PowerPoint PPT Presentation


  • 79 Views
  • Uploaded on

Radian Measure. A central angle has a measure of 1 radian if it is subtended by an arc whose length is equal to the radius of the circle. Consider the circle at the right. Let the radius be given by r. Measure an arc on the circle of length r , the radius of the circle.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Radian Measure' - noam


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
Radian measure
Radian Measure

  • A central angle has a measure of 1 radian if it is subtended by an arc whose length is equal to the radius of the circle.

  • Consider the circle at the right. Let the radius be given by r.

  • Measure an arc on the circle of length r, the radius of the circle.


  • Angle θ has a measure of 1 radian.


  • Angle α has a measure of 2 radians.



  • Example A, and name the central angle 1:

  • A central angle θsubtends an arc of length 27cm. in a circle of radius 6cm. Determine the measure of θ.


  • Notes: A, and name the central angle

    • Radians is sometimes abbreviated rad.

    • Sometimes neither radians nor rad is added. In the previous example, we could say that the measure of the angle was 4.5, and the intent would be 4.5 radians.

    • If the measure is intended to mean degrees, then the degree symbol will be added.


ad