CAIE: A Level - Mathematics 9709 - Pure Mathematics 1

Circular Measure / Circular Measure

KEYPOINTS:

360° = 2π radians OR 180° = π radians
To convert from degrees to radians, multiply by \(\frac{π}{180°}\)
To convert from radians to degrees, multiply by \(\frac{180°}{π}\)

ARC LENGTH AND SECTOR AREA

Arc length, s = rθ, Sector Area, A = \(\frac{1}{2}\)r²θ. Where θ is measured in radians and r is the radius of the circle.
Sine Rule: \(\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}\) OR \(\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}\)
Cosine Rule: a² = b² + c² – 2bc cosA
Area of a triangle: \(\frac{1}{2}\)ab sinC

Past Papers Topic Wise Questions A Level: Mathematics 9709 - Pure Mathematics 1 Circular Measure | Circular Measure

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