Question

1. A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once?

2.You want to buy the largest pizza in Northern Utah. You find a pizza that measures 75.36in around. What is the area that the pizza covers?

Answer 1

Explanation:

1. A diameter of 27 in corresponds to a radius of 13.5 in.

Find the circumference of the tire: C = 2pi*r becomes C = 6.28(13.5 in), or

C = 84.78 in ≈ 85 in

2. Recall that C = 2pi*r. Then C = 2pi*r = 75.36 in. Solving this for the radius, r, we get r = 75.36 / 6.28, or 12 in. The area of this pizza with circumference 75.35 is A= pi*r^2, or A = 3.14*(12 in)^2 =

A = 452 in^2, to the nearest whole digit.