Geometry and TrigonometryMediumArc length from a central angle and circumference
Geometry and Trigonometry practice question
A circular running track has a circumference of 240 metres. A runner goes from one marker to the next, and the two markers are 60° apart as seen from the centre. How many metres does the runner cover?
Answer: 40
60° is 60/360 = 1/6 of the circle: 240/6 = 40 metres.
Common wrong answers
- If you answered 60
- 60 is the angle, not the distance.
- If you answered 80
- 80 uses 1/3 of the track (a 120° arc).
- If you answered 120
- 120 is half the track.
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