Question

the wheel of car rotated 1000 time in travelling a distance of 1.76 km. find the radius of the wheel.

Answer 1

1000 rotations cover 1.76 km
So, 1 revolution covers 1760/1000 m = 1.76 m 
So, circumference = 1.76 m
Radius = Circumference/2π = 1.76/2(22/7) = 1.76*7/44 = 0.28m

Answer 2

Answer:

The radius of the wheel is 0.28 m .

Step-by-step explanation:

As given

The wheel of car rotated 1000 time in travelling a distance of 1.76 km.

As

1 km = 1000 m

1.76 km is convered into meters .

1.76 × 1000 = 1760 meters

$Distance\ covered\ in\ one\ rotation = \frac{Total\ distance\ travelled}{Number\ of\ rotation}$

$Distance\ covered\ in\ one\ rotation = \frac{1760}{1000}$

                                                                   = 1.760 m

$Circumference\ of\ a\ circle =2\pi r$

Where r is the radius .

Thus

$Circumference\ of\ a\ wheel = Distance\ covered\ in\ one\ rotation$

$\pi = 3.14$

$2\times 3.14\times r = 1.760$

$r = \frac{1.760}{6.28}$

r = 0.28 m

Therefore the radius of the wheel is 0.28 m .