## Edexcel A Level Maths: Pure

### Revision Notes

A Level Only

• Radians are an alternative to degrees for measuring angles
• 1 radian is the angle in a sector of radius 1 and arc length 1
• Radians are normally quoted in terms of π
• 2π = 360°
• π = 180°
• The symbol for radians is c but it is more usual to see rad

(Often, when π is involved, no symbol is given as it is obviously in radians)

• Radians are used in trigonometry (see Exact Values) and calculus (First Principles Differentiation – Trigonometry)

#### How do I change between radians and degrees?

• The most common are below, these are helpful to know
• Multiples of these are quite common too, eg ¾π = 135°
• For less familiar angles use π = 180° to convert

#### How do I use radians to find the length of an arc?

• The length of an arc is s = rθ

#### How do I use radians to find the area of a sector?

• The area of a sector is A = ½θr2

• Other angle, circle, area, etc skills may be needed
• For example, area of a triangle “A = ½absinC”
A Level Only

### Worked Example

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