Geometry and TrigonometryHardArc length as a coefficient of pi
Geometry and Trigonometry practice question
A circle has a radius of 6. An arc of the circle is cut off by a central angle of 150°. The length of the arc can be written as kπ. What is the value of k?
Answer: 5
The circumference is 12π, and 150/360 of it is 5π.
Common wrong answers
- If you answered 12
- 12 is the full circumference's coefficient.
- If you answered 15
- 15 uses the sector area's coefficient.
- If you answered 2.5
- 2.5 halves the answer.
More Geometry and Trigonometry questions
- Hard
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What is 135° expressed in radians? - Hard
What is the length of segment PT? - Hard
What is the measure, in degrees, of the central angle of this sector?
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