Geometry and TrigonometryEasy–MediumNumber of turns of a wheel
Geometry and Trigonometry practice question
A wheel has a radius of 0.5 metres. How many complete turns does it make while rolling 31.4 metres along the ground? (Use π ≈ 3.14.)
Answer: 10
One turn covers the circumference: 2π(0.5) ≈ 3.14 m. Turns: 31.4 ÷ 3.14 = 10.
Common wrong answers
- If you answered 5
- 5 uses a circumference of 6.28 (π × diameter with diameter misread as 2).
- If you answered 20
- 20 uses the radius as the circumference (31.4 ÷ 1.57).
- If you answered 62.8
- 62.8 multiplies 31.4 by 2 instead of dividing by the circumference.
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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