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

5.87π inches or 11.56π inches.

Step-by-step explanation:

In other words, what is the arc length if the central angle is 80° and the radius is 26'?

The arc length formula is s = r·Ф, where Ф is the central angle in radians.

We must therefore convert 80° to radian measure:

80°·π/180° = 1.396 radians, and so

arc length = s = r·Ф becomes s = (26") (1.396 rad) = 36.3 inches

s = 11.56π inches (3rd given possible

answer)