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
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