Geometry and TrigonometryMediumArc length from a central angle
Geometry and Trigonometry practice question
A circular garden path has a total length (circumference) of 24 metres. A section of the path subtends a central angle of 150°. How long, in metres, is that section?
Answer: 10
150/360 = 5/12 of the circle: 24 × 5/12 = 10.
Common wrong answers
- If you answered 6
- 6 is a quarter of the path (90°).
- If you answered 15
- 15 uses 150/240.
- If you answered 150
- 150 is the angle, not a length.
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