Question

A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched the ground? 2.88 inches 5.78 inches 11.56 inches

Answer 1

11.56π inches.

Step-by-step explanation:

arc length = (θ/360°) * (2*π*R)

where:

θ = angle of the arc in degrees

R = the radius of the arc

π = approximately 3.142

Recall that 2πR is the circumference of a circle,

Therefore,

θ = 80°

R = 26 inches

= (80/360) * (2*π*26)

= (104/9)*π inches

= 11.56π inches.