Question

A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc length, rounded to the nearest hundredth, between each spoke? Use 3.14 for π . Show your work.

Answer 1

Answer:

Arc length = 54.85mm

Step-by-step explanation:

360/32 = 11.25

11.25 * 559 = 6288.75

6288.75 * 3.14 = 19746.675

19746.675/ 360 = 54.851875

Rounded to the nearest hundredth

Arc length = 54.85mm

Answer 2

The length of the arc is 54.9mm

Data given;

• diameter = 559mm, r = d/2 = 279.5mm
• number of spokes = 32
• π = 3.14

To solve this question, we have to use the formula of length of an arc which is given as

L = θ/360 * 2πr

To find the angle between each spoke, let's divide 360 by 32

$\theta = 360/32\\\theta = 11.25^0$

Now that we have the value of the angle, let's substitute it and solve for the length of the arc.

$L_a_r_c = \theta/360 * 2\pi r\\L_a_r_c = \frac{11.25}{360} * 2 * 3.14 * 279.5\\L_a_r_c = 54.9mm$

The length of the arc is approximately 54.9mm

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