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 an angle between degrees and radians, giving an exact multiple of Ï€ or an appropriately rounded value.
Use s=rÎ¸ to calculate an arc length or recover a radius/angle from a stated arc and unit.
Use sector and segment formulae to find area or perimeter, including shaded regions made from circles, sectors, chords and triangles.
Translate a radian-based geometric or physical model into equations, solve for the required parameter and check units/precision.

Learn this topic

Study SL 3.4—Radian measure conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

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

Learn this topic

IB Maths AA SL 3.4 Radian Measure Questions question 1