A bicycle wheel has outer diameter 32cm. How far will the cyclist travel if the wheel rotates 100π times? Give your answer in kilometres and correct to two decimal places.

Respuesta :

Answer:

[tex]T=0.3142km \\T=0.31km\ to\ 2dp[/tex]

Step-by-step explanation:

Diameter [tex]d=32cm=0.32m[/tex]

Number of rotations [tex]N=100\pi[/tex]

Generally the circumference of the wheel is mathematically given as

[tex]C=2\pi r[/tex]

[tex]C=2\pi (0.32)^2/4[/tex]

[tex]C=1.005309649m[/tex]

[tex]C=1.0m[/tex]

Generally the total distance traveled  T is mathematically given as

[tex]T=N*C[/tex]

[tex]T=100\pi *1m[/tex]

[tex]T=314.1592654m \approx 314.16m[/tex]

Total distance traveled  T in Kilometres

[tex]T=314.1592654m[/tex]

[tex]T=\frac{314.1592654m}{1000}[/tex]

[tex]T=0.3142km \\T=0.31km\ to\ 2dp[/tex]