Question

the diameter of ram's bicycle wheel is 60cm. the distance between ram's house and school is 2 km.ram travelled from his house to school in his bicycle.how many times must the bicycle wheel  have rotated.
a) 106 times
b)1060 times
c)2828 times

Answer 1

Circumference of the bicycle wheel = (22/7)x60 cm = 13.2 / 7 m

Distance travelled = 2 kms = 2000 m

Number of rotations made by wheel
= Total distance / Distance traveled in one rotation 
= Total Distance / Circumference of the wheel
= 2000 / (13.2/7) = (2000x 7) / 13.2 
= Approx 1060 

Answer 2

Radius of wheel = 60/2=30cm=0.3m
Circumference=2$\pi$r
                      =2*3.14*0.3
                      =1.884
Distance between school and house = 2km=2000m
ATQ
n(2$\pi$r)=2000m
n(1.884)=2000
n=2000/1.884
->n≈1060
Hence the cycle's wheel makes 1060 rotation.