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A roller skater was skating on a road. The skater covered some distance before coming to a stop. The number of rotations of the skating wheel was found to be 6. If the radius of the wheel is 10 cm, find the distance covered by the skater (in cm). Leave the answer in terms of pi.

Respuesta :

Answer: The distance covered by the skater is 120Ï€ cm.

Step-by-step explanation:

Since we have given that

Radius of wheel = 10 cm

Number of rotations of the skating wheel = 6

According to question, we get that

[tex]\text{Number of rotations}=\dfrac{\text{Distance covered by skater}}{\text{Circumference of circle}}\\\\6=\dfrac{Distance}{2\pi r}\\\\6\times 2\times \pi\times 10=Distance\\\\120\pi\ cm=Distance[/tex]

Hence, the distance covered by the skater is 120Ï€ cm.

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