Trigonometry: Degree and Radian Measurement of angles
This is a free lesson from our course in Trigonometry
 
   
This lesson introduces and walks you through the ways to measure angles. Further a comparison of these methods i.e. degree and in radian will be shown with the help of video and explanation by the instructor in own hand writing. You'll also find some supporting examples and practice questions with solution.
A degree is defined as 1/360 of a rotation of a radius about the center of a circle. Thus 360 = 1 complete rotation. A radian is the angle subtended at the center of a circle by an arc of the circle equal in length to its radius. Simply put, a circle is divided into 360 equal degrees, and a right angle (1/4th of the rotation) is 90. The degrees range from 0 to 360 and radians range from 0 to 2, where 2is equivalent to 360. (More text below video...)
<h2>Trigonometry - Degree and Radian Measurement of angles</h2> <p>Degree, measurement in degrees, measuring angles, radian measurement, video, units of measurement, angle measure, radians to degrees, example, solution, trigonometry, practice question, quizzes</p> <p>A degree is defined as 1/360 of a rotation of a radius about the center of a circle.The degrees range from 0 to 360 degree and radians range from 0 to 2 pi.</p>
Other useful lessons:
Conversion Between Degrees and Radians
(Continued from above) Using the fact that 360corresponds to 2 radians; we can generate the following angle measures:
  • Dividing by 2 gives 180which corresponds to .
  • Dividing again by 2 gives 90 corresponds to /2.
  • Dividing by 4 gives 45which corresponding to /4.
Other radian measures of angle can be found for such angles as 150or 240or -135, as these are multiples of 30, 45, and 60. For example, since we know that 30corresponds to /6 we can convert 150to 5/6 since 150 = 5(30).
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