Geometry and TrigonometryMediumQuarter of a circle's circumference
Geometry and Trigonometry practice question
A circle has a radius of 8. The length of an arc cut off by a central angle of 90° can be written as kπ. What is the value of k?
Answer: 4
The circumference is 16π, and a 90° arc is one quarter of it: 4π.
Common wrong answers
- If you answered 2
- 2 is one eighth.
- If you answered 8
- 8 is half the circumference's coefficient.
- If you answered 16
- 16 is the full circumference's coefficient.
More Geometry and Trigonometry questions
- Medium
In a 45°-45°-90° right triangle, each leg has length 5. What is the length of the hypotenuse? - Medium
A cylinder has a radius of 3 and a height of 10. What is its volume? (Use V = πr²h.) - Medium
In a right triangle, the side opposite angle θ has length 3 and the hypotenuse has length 5. What is sin θ? - Medium
Two triangles are similar with a ratio of 2 to 3. A side of the smaller triangle measures 8. What is the lengt… - Medium
What is the distance between the points (1, 2) and (4, 6) in the coordinate plane? - Medium
A circle has a radius of 6. What is the area of a sector with a central angle of 60°?
Not affiliated with the College Board. SAT is a trademark of the College Board.