Geometry and TrigonometryEasy–MediumFraction of a circle taken by a sector
Geometry and Trigonometry practice question
A sector of a circle has a central angle of 72°. What fraction of the circle's area is the area of the sector?
Answer: 1/5 or 0.2
The sector's share is the angle's share of 360°: 72/360 = 1/5.
Common wrong answers
- If you answered 72
- 72 is the angle, not a fraction.
- If you answered 1/4
- 1/4 corresponds to 90°, not 72°.
- If you answered 1/8
- 1/8 corresponds to 45°.
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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