duckii26
contestada

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of
the wheel is 42 inches, how long is each spoke? Round your answer to the nearest hundredth.
A. 13.38 inches
B. 6.69 inches
C. 6.25 inches
D. 7 inches

Respuesta :

texaschic101
C = 2(pi)r....so we are looking for the radius (r)
42 = 2 * 3.14 * r
42 = 6.28r
42/6.28 = r
6.69 = r <===
InesWalston

Answer:

Length of each spoke is 6.69 inches.

Step-by-step explanation:

The spoke of a wheel reaches from the center of the wheel to its rim.

So the length of each spoke is equal to the radius.

Circumference of the rim of  the wheel is 42 inches.

Let us assume that the radius is x inches.

Then the circumference of the rim will be,

[tex]=2\times \pi\times \text{Radius}\\\\=2\pi x[/tex]

As circumference is given as 42 inches, so

[tex]\Rightarrow 2\pi x=42[/tex]

[tex]\Rightarrow x=\dfrac{42}{2\pi}=\dfrac{42}{2\times 3.141}=6.69\ inches[/tex]

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