IB Maths AA SL 3.4 Radian Measure Questions

Practise converting degrees to radians, using s = rθ and sector or segment formulae, and solving circular geometry or physical models with correct units.

Exam points

Convert between degrees and radians and use radian measure consistently in exact or decimal angle calculations.
Calculate arc length and sector area with s = rθ and A = ½r²θ, identifying the radius and central angle in radians.

The following diagram shows a square ABCD , and a sector OAB of a circle centre O , radius r. Part of the square is shaded and labelled R.

Figure for Question IB Maths AA SL 3.4 Radian Measure Questions question 1 — IB Maths AA SL

\mathrm{A} \hat{\mathrm{OB}}=\theta, \text { where } 0.5 \leq \theta<\pi

When $\theta=\alpha$ , the area of the square ABCD is equal to the area of the sector OAB .

Write down the area of the sector when $\theta=\alpha$ .

$\frac{1}{2} \alpha r^{2}\left(\right.$ accept $\left.2 r^{2}(1-\cos \alpha)\right)$

All question bank results loaded

IB Maths AA SL 3.4 Radian Measure Questions question 1