Question : The radius of a wheel is 25 cm. How many rounds it will take to complete 11 km?
Option 1: 5000
Option 2: 6000
Option 3: 7000
Option 4: 4000
Correct Answer: 7000
Solution :
Distance to be completed = 11 km = 11000 m
Radius, $r$ = 25 cm = 0.25 m
Distance covered in one round = $2\pi r = 2 × \pi × 0.25$ m = $0.50\pi$ m
$\therefore$ Number of rounds required to cover 11 km = $\frac{\text{Total distance covered}}{\text{Distance covered in one round}} = \frac{11000}{0.50\pi}=\frac{11000\times7}{0.50\times22}$ = 7000
Hence, the correct answer is 7000.
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