Question

A bicycle wheel makes 5000 revolution in moving 11 km . Find the circumference and the diameter of the wheel

Answer 1

Given
Number of revolution =5000
Distance covered =11km

To find
Circumference of the wheel=?
Dia of the wheel=?

Solution
Circumference of wheel (distance covered in 1 rotation) =
$2\pi \: r$
In 5000 rotation

$5000 \times 2\pi \: r$


$10000 \times \pi \: r = 11$

Let change 11km in meter =11000m

Now
$r = \frac{11000}{10000 \times \pi}$

R=0.35m

R=35cm
Dia=70

Circumference =
$\pi \: d$
=22x10=220cm

Answer 2

Answer:

The diameter is 70 cm

Step-by-step explanation:

Let the radius of the wheel be r cm.

Distance covered by the wheel in one revolution =  

5000

11

​  

 km = 220 cm

2πr=220

2×  

7

22

​  

×r=220

r=35 cm

Diameter = 2r=70 cm

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