Geometry and TrigonometryEasy–MediumCentral angle for an eighth of a circle
Geometry and Trigonometry practice question
An arc is one-eighth of the way around a circle. What is the measure, in degrees, of the central angle that intercepts the arc?
Answer: 45
A full turn is 360°, and one-eighth of it is 360/8 = 45°.
Common wrong answers
- If you answered 8
- 8 is the number of equal parts, not the angle.
- If you answered 90
- 90 is a quarter of the circle.
- If you answered 22.5
- 22.5 is a sixteenth of the circle.
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse? - Easy–Medium
A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
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