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Straight line graphs - Additional Mathematics

Straight line graphs
Cambridge O Level Additional Mathematics 4037

You must know the chapters co-ordinate geometry and logarithm before starting this chapter.

Equation of straight line graphs:
The equation of a straight line is

 y = mx + c

where, m is the gradient;
c is the y - intercept.

The formula of gradient, m = (y2 - y1)/(x2 - x1)




In these sums, you are given an equation which you have to transform into a straight line equation. The type of equations that you get are: y = ax^n and y = Ab^x .

Circular Measure - Additional Mathematics

Circular Measure
Cambridge O Level Additional Mathematics 4037  

Circular measure is one of the easiest chapters when it comes to understanding the basic concepts.
Let's first look at these concepts.

The first thing that you need to know is the relation between degrees and radians.

180 ° = π rads

The smaller part of the circle is called the minor sector the larger part is the major sector.

Finding the Arc length 

The arc length is the length of arc along AB. It is represented by s. r is the radius of circle and θ is subtended by the sector (of which the area is to be found).

 s = rθ  (theta must be in radians)

e.g. If r = 3 cm 

       θ = π/3

s = rθ 

= 3(π/3)

= π

= 3.14cm