A bicycle wheel having a radius of 35 cm. What percentage of its circumference is covered in a quarter turn? (Use π = 22/7)

Question

A bicycle wheel having a radius of 35 cm. What percentage of its circumference is covered in a quarter turn? (Use π = 22/7)

1. A. 15%
2. B. 25% (Correct answer)
3. C. 30%
4. D. 35%

Correct Answer

Option B — 25%

Detailed Solution & Explanation

The correct answer is 25%.

Key Points

• A quarter turn sweeps one-fourth of the wheel's full rotation, and the arc covered is one-fourth of the circumference — 25% — regardless of the radius.
• The radius and π are decoys here: 'a quarter turn' means exactly ¼ of the circumference by definition, so the fraction is fixed at 25%.