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The radius of a wheel of a cycle is 0.14 m. Find the distance covered by it in 5 revolutions.

A. 11 m
B. 44 cm
C. 440 m
D. 440 cm


Sagot :

To determine the distance covered by a wheel in 5 revolutions, follow these steps:

1. Determine the radius of the wheel: The radius given is 0.14 meters.

2. Calculate the circumference of the wheel:
The circumference \(C\) of a wheel can be calculated using the formula:
[tex]\[ C = 2 \pi r \][/tex]
where \(r\) is the radius of the wheel.

Plugging in the value of the radius:
[tex]\[ C = 2 \pi (0.14) \][/tex]
The calculated circumference is approximately \(0.8796459430051422\) meters.

3. Calculate the distance covered in 5 revolutions:
The distance covered \(D\) in \(n\) revolutions is given by:
[tex]\[ D = n \times C \][/tex]
Here, \(n\) is 5 revolutions:
[tex]\[ D = 5 \times 0.8796459430051422 \][/tex]
The distance covered in 5 revolutions is approximately \(4.398229715025711\) meters.

4. Convert the distance from meters to centimeters:
Since \(1\) meter is equal to \(100\) centimeters:
[tex]\[ D_{\text{cm}} = 4.398229715025711 \times 100 \][/tex]
Converting the distance into centimeters, we get approximately \(439.82297150257114\) centimeters.

Therefore, the distance covered by the wheel in 5 revolutions is approximately \(440\) cm.

Thus, the correct answer is:
d. 440 cm
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