Unit 3: Geometry and Trigonometry
Topic 3.4: Radian Measure Questions
Practice 14 exam-style questions for IB Math AA SL Topic 3.4. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Convert2 marks
2026• Aimnova practice — 3.4.1
Convert 135° to radians, giving your answer as a multiple of π.
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2026• Aimnova practice — 3.4.2
A sector has radius 10 cm and central angle 1.2 radians. Find its area.
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2026• Aimnova practice — 3.4.1
Write down the radian measure of (a) 45° and (b) 270°.
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2026• Aimnova practice — 3.4.2
A sector has radius 9 cm and central angle 0.8 radians. Find its arc length.
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2026• Aimnova practice — 3.4.1
Convert 5π/6 radians to degrees.
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2026• Aimnova practice — 3.4.1
An angle measures π/5 radians. Express it in degrees.
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2026• Aimnova practice — 3.4.2
A circular pizza slice (sector) has radius 15 cm and arc length 10 cm. Find its area.
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2026• Aimnova practice — 3.4.1
Write 210° as a multiple of π in radians.
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2026• Aimnova practice — 3.4.1
Convert 2 radians to degrees, to 3 s.f.
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2026• Aimnova practice — 3.4.1
Convert 100° to radians, to 3 s.f.
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2026• Aimnova practice — 3.4.2
A sector has area 50 cm² and radius 10 cm. Find the central angle in radians.
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2026• Aimnova practice — 3.4.2
A sector has radius 4 cm and arc length 10 cm. Find the central angle in radians.
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2026• Aimnova practice — 3.4.2
A sector has radius 7 cm and central angle 2 radians. (a) Find the arc length. (b) Find the perimeter of the sector.
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2026• Aimnova practice — 3.4.2
A sector of a circle has radius 12 cm and central angle π/3. (a) Find the area of the sector. (b) Find the area of the segment cut off by the chord, to 3 s.f.
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