Question

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

Answer 1

Length of each spoke is 6.69 inches.

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,

`=2* \pi* \text{Radius}\\\\=2\pi x`

As circumference is given as 42 inches, so

`\Rightarrow 2\pi x=42`

`\Rightarrow x=(42)/(2\pi)=(42)/(2* 3.141)=6.69\ inches`

Answer 2

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 <===