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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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
Question : The radius of a wheel is 21 cm. What is the distance (in cm) travelled by the wheel in 10 revolutions?
Option 1: 660
Option 2: 1320
Option 3: 1980
Option 4: 2640
Question : The radius of a wheel is 3.5 cm. What is the distance (in cm.) traveled by the wheel in 20 revolutions?
Option 1: 220
Option 2: 440
Option 3: 880
Option 4: 1320
Question : A wheel has a diameter of 84 cm, then how far does the wheel go (in metres) in 16 revolutions? (Take $\pi=\frac{22}{7}$)
Option 1: 42.24
Option 2: 21.12
Option 3: 36.28
Option 4: 27.48
Question : If a wheel has a diameter of 42 cm, then how far does the wheel go (in metres) in 12 revolutions? (Take $\pi=\frac{22}{7}$)
Option 1: 21.45
Option 2: 23.27
Option 3: 15.84
Option 4: 17.64
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