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1. Further Pure Mathematics 1

1.1 Roots of polynomial equations

1.2 Rational functions and graphs

1.3 Summation of series

1.5 Polar coordinates

1.5.1—Polar coordinates

1.5.2—Polar curves

1.5.3—Polar area

1.7 Proof by induction

3. Further Mechanics

3.1 Motion of a projectile

3.2 Equilibrium of a rigid body

3.3 Circular motion

3.4 Hooke's law

3.5 Linear motion under a variable force

4. Further Probability & Statistics

4.1 Continuous random variables

4.2 Inference using normal and t-distributions

4.3 Chi-squared tests

4.4 Non-parametric tests

4.5 Probability generating functions

A-Level CAIE Further Math AS 1.5.3—Polar area Topic Practice

1.5.3—Polar area

• recall the formula r d2 1 2 iy for the area of a sector, and use this formula in simple cases.

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