Question

The wheel of a car rotated 1000 times in travelling a distance of 1.76 km. Find the radius of the wheel​

Answer 1

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=Number of rotationTotal distance travelled

Distance\ covered\ in\ one\ rotation = \frac{1760}{1000}Distance covered in one rotation=10001760

                                                                   = 1.760 m

Circumference\ of\ a\ circle =2\pi rCircumference of a circle=2πr

Where r is the radius .

Thus

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

\pi = 3.14π=3.14

2\times 3.14\times r = 1.7602×3.14×r=1.760

r = \frac{1.760}{6.28}r=6.281.760

r = 0.28 m

Therefore the radius of the wheel is 0.28 m .

Answer 2

Total rotation = 100Distance covered = 1.76km = 1.76 × 100000cm

→ 176/100 × 100000

→ 176000cm

Distance covered in 1000 rotation = 176000cm

Distance covered in 1 rotation = 176000/1000

= 176cm

# Circumference of the wheel = 176cm

=2πr = 176

= 22/7 r = 176/2

r = 176×7/2

r = 28cm