Using \(\pi=\frac{22}{7}\) how many revolutions will a wheel of radius (35) cm make while moving (220) cm?
Answer and explanation
Correct answer: 1
The distance covered in one complete revolution equals the circumference of the wheel. Its circumference is \(2\pi r=2\times\frac{22}{7}\times35=220\) cm. Since the given distance is also 220 cm, the number of revolutions is \(\frac{220}{220}=1\). In contrast, \(\frac{1}{2}\) revolution would cover only 110 cm. Exam tip: divide the total distance by the wheel's circumference to find the number of revolutions.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The distance covered in one complete revolution equals the circumference of the wheel. Its circumference is \(2\pi r=2\times\frac{22}{7}\times35=220\) cm. Since the given distance is also 220 cm, the number of revolutions is \(\frac{220}{220}=1\). In contrast, \(\frac{1}{2}\) revolution would cover only 110 cm. Exam tip: divide the total distance by the wheel's circumference to find the number of revolutions.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
