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Term 2
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Topics
Binomial Theorem
Circular Measure
Partial Fractions
Probability
Vectors
Further Trigo

Trigo Formula Sheet
Standard Graphs
Differentiation

Limits

Techniques of Differentiation

Tangent and Normal

Max/Min Points and 2nd Derivative

Rate of Change

Curve Sketching

Mensuration Formula Sheet
(for max/min problems)
Quizzes
Integration

Basic Integration
+ Substitution + By Parts (SMTP)
Further Integration (Trigo, Exp, Log, f '(x)type)

Area under curve
+ Volume of revolution (SMTP)

Kinematics

Differentiation & Integration Formula Sheet
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Circular Measure
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Topic Objectives:
define angles in radian
determine the arc length and area of sector/segment
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.
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=s5uBxzULm8
]
A quick game to test your knowledge on converting between degree and radian measure:
Radians
Now, let's move on to Circular Measure!
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=p7buHA3W5w&feature=channel
]
Powerpoint Slides:
Download:
2015 Circular Measure.ppt
Details
Download
443 KB
Notes
2015 Circular Measure Notes.pdf
Details
Download
123 KB
Solutions to Circular Measure exercise.pdf
Details
Download
729 KB
Quiz 1 Circular Measure Solutions.pdf
Details
Download
271 KB
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Please note that your calculator should be set to RADIAN ('R') mode while computing in this topic.
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=s5uBxzULm8]
A quick game to test your knowledge on converting between degree and radian measure:
Radians
Now, let's move on to Circular Measure!
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=p7buHA3W5w&feature=channel]
Powerpoint Slides:
Notes