Polar Graphs and Areas (AQA A-Level Further Maths): Quizzes

Angle anticlockwise from positive x-axis

$2a$

4

$A = \frac{1}{2}\int_a^b r^2 d\theta$

The formula is derived from $\frac{1}{2}r^2\theta$

When $\sin\theta = -1$

$r$ represents distance from the origin

$\cos^2(x) = \frac{1 + \cos(2x)}{2}$

$3$

Sketch curves & find intersection points