Question : The radius of a wheel moving on a road is $8\frac{3}{4}$ cm. How many rounds it will take to complete the 55 metres distance?
Option 1: 10
Option 2: 11
Option 3: 100
Option 4: 55
Correct Answer: 100
Solution :
Radius = $r$ = $8\frac{3}{4}$
Distance covered in 1 revolution = Circumference of wheel
Distance covered in 1 revolution = $2\pi r $
= $2 × \frac{22}{7} × \frac{35}{4} = 55$ cm
Required number of revolutions to cover 55 m = $\frac{55×100}{55}$
= 100
Hence, the correct answer is 100.
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