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IB Maths AA SL 3.4 Radian measure Question Bank

Practise IB Mathematics SL/HL 3.4 by applying radian measure methods to exam-style questions.

Syllabus
First assessment 2021
Course
Mathematics: analysis and approaches SL
Level
SL

Exam points

  • identify the mathematical structure, variable or representation
  • select and apply the correct theorem, formula or algorithm
  • check the result using units, domain, graph or logical reasoning

SL 3.4—Radian measure question 1

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 SL 3.4—Radian measure question 1 — IB Maths AA SL
AOB^=θ, where 0.5≤θ<π\mathrm{A} \hat{\mathrm{OB}}=\theta, \text { where } 0.5 \leq \theta<\pi

When θ=α\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 θ=α\theta=\alpha.

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