Geometry and TrigonometryEasy–MediumFraction of a circle in a sector
Geometry and Trigonometry practice question
A sector of a circle has a central angle of 72°. The area of the sector is what fraction of the area of the whole circle?
Answer: 1/5 or 0.2
A full circle is 360°, and 72/360 = 1/5. The sector is one-fifth of the circle.
Common wrong answers
- If you answered 72
- 72 is the angle in degrees, not a fraction of the circle.
- If you answered 1/4
- 1/4 would be a 90° sector.
- If you answered 1/6
- 1/6 would be a 60° sector.
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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