Respuesta :

Distance covered in round of wheel will be equal to the circumference of the wheel.



Radius of a car wheel = 20 inches
Diameter of car wheel = 2 radius = 2 × 20 inches = 40 inches


Circumference of wheel = π diameter

[tex]circumference \: \: of \: \: wheel = \frac{22}{7} \times 40 \:inches[/tex]




[tex]So, \: distance \: \: covered \: \: in \: \: one \: \: round \: \: is \: \: \frac{22}{7} \times 40 \: inches[/tex]


Similarly,


[tex]So, \: \: distance \: \: covered \: \: in \: \: 6 \: rounds \: \: = 6 \times \frac{22}{7} \times 40 [/tex]



So, distance covered in 6 rounds is 754.28 inches

The car travels 754 inches in 6 revolutions of wheel.

Distance in one revolution

Since the car covers the circumference of the wheel in one revolution, we have that

C = 2πr where r = radius of wheel = 20 inches

So, C = 2π × 20 in

C = 40π in

So, the wheel covers 40π inches in one revolution.

Distance in 6 revolutions

We require the distance covered by the car in 6 revolutions.

So, distance = number of revolutions × distance per revolution

= 6 × 40π

= 240π

= 753.98 in

≅ 754 in

So, the car travels 754 inches in 6 revolutions of wheel.

Learn more about revolutions of wheel here:

https://brainly.com/question/24463763