Topic Objectives:
  1. define angles in radian
  2. determine the arc length and area of sector/segment
  3. apply the various formulae (including those in trigonometry) to solve problem sums involving arc length, sector, segment, triangles within a circle.

Please note that your calculator should be set to RADIAN ('R') mode while computing in this topic.




Pulley_Q.jpg


Degree_P1.jpg







Radian_P2.jpg
Radian_P3.jpg

How many radians are there in a circle?

The number of radians in a circle = length of circumference / length of radius


To have a better picture, watch the animation in the website: http://www.mathsisfun.com/geometry/radians.html





Video resource on Radian Measure:

[URL: http://www.youtube.com/watch?v=s5uB-xzULm8]

Radian_P4.jpg

A quick game to test your knowledge on converting between degree and radian measure:

Radians


Now, let's move on to Circular Measure!

Circular_Measure_P1.jpg

Circular_Measure_P2.jpg
Circular_Measure_P3.jpg
Circular_Measure_P4.jpg

Video resource on Arc Length and Area of Sector:

[URL: http://www.youtube.com/watch?v=uX0bIhf7NcI]

Video on Examples of finding Arc Length and Area of Sector:

[URL: http://www.youtube.com/watch?v=5axmtbi1VRo&feature=related]

Video on Example of finding Area of a Segment:

[URL: http://www.youtube.com/watch?v=p7buH-A3W5w&feature=channel]



Circular_Measure_P6.jpg
Circular_Measure_P7.jpg
Circular_Measure_P8.jpg
Circular_Measure_P9.jpg



Powerpoint Slides:




Download:

Notes