Marcel bought a new pair of inline skates. Each wheel on the skates is 41 millimeters in radius. Which shows the number of millimeters traveled in 5 full rotations of a wheel?

Respuesta :

Length length radius of a wheel in an inline skates = 41 millimeters

Circumference of wheel = Millimeters traveled by the wheel in one rotation

(pi value = [tex] \tt\: \frac{22}{7} [/tex])

Circumference of wheel :

[tex] = \tt2\pi r[/tex]

[tex] =\tt 2 \times \frac{22}{7} \times 41 [/tex]

[tex] = \tt \frac{2 \times 22}{7} \times 41[/tex]

[tex] = \tt \frac{44 \times 41}{7} [/tex]

[tex]\color{plum} =\tt 257.71 \: mm[/tex]

Thus, the wheel will travel 257.71 mm in one rotation.

Distance traveled by the wheel in 5 rotations :

= distance traveled by the wheel in 1 rotation × 5

[tex] =\tt 257.71 \times 5[/tex]

[tex]\color{plum} = \tt\bold{1288.55 \: mm}[/tex]

[tex] =\tt \frac{1288.55}{10} \: cm[/tex]

[tex] \color{plum}=\tt 128.855 \: cm[/tex]

▪︎Therefore, the distance traveled by the wheel in 5 rotations = 1288.55 millimeters or 128.855 cm.