Unit 3: Geometry and Trigonometry
Topic 3.4: Radian Measure Questions
Practice 20 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.
1Find2 marks
2026
A sector has radius 10 cm and central angle 1.2 radians. Find its area.
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2024
A disc turns steadily at radians every second, starting from rest at . Write down the angle it has turned through after seconds.
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2025
The angles of a triangle are in the ratio . Find the largest angle in radians.
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2026
A sector has radius 9 cm and central angle 0.8 radians. Find its arc length.
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2023
A sector of a circle of radius has an angle of at the centre. Show that its arc length is .
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2026
Write down the radian measure of (a) 45° and (b) 270°.
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2023
A sector has radius and area . Show that its angle is radians.
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2026
Write down the radian measure of (a) and (b) .
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2024
A sector of a circle of radius has angle , and a sector of a circle of radius has angle . The two sectors have the same area. Show that .
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2025
Find, in radians, the angle at the centre subtended by one side of a regular hexagon.
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2026
An angle measures π/5 radians. Express it in degrees.
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A fan blade sweeps out a sector of radius 12 cm through an angle of 0.7 radians. Find the length of the arc it traces.
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A sector of a circle has radius 6 cm and central angle 1.5 radians. Calculate its area.
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2026
An angle measures radians. Express it in degrees.
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2026
Find the value of in radians, giving an exact answer.
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2026
Convert 135° to radians, giving your answer as a multiple of π.
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2026
Convert to radians, giving your answer as a multiple of π.
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2024
A wheel makes complete turns every seconds. Show that it turns through radians per second.
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2024
An arc of length on a circle of radius subtends an angle at the centre. Show that to three significant figures.
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