Question : The radius of a circular wheel of a toy car is 56 mm. In how many revolutions can it cover a distance of 176 cm? (Use $\pi=\frac{22}{7}$)
Option 1: 6
Option 2: 3
Option 3: 5
Option 4: 4
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Correct Answer: 5
Solution :
The distance covered in one revolution of a wheel is equal to the circumference of the wheel, i.e. $2\pi r$, where $r$ is the radius of the wheel.
Given that the radius of the wheel is 56 mm,
the circumference of the wheel $=2 × \frac{22}{7} × 56= 352\ \text{mm}= 35.2\ \text{cm}$
Number of revolutions = $\frac{176 \text{ cm}}{35.2 \text{ cm/revolution}}= 5$
Hence, the correct answer is 5.
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