Question

the spoke of a wheel reaches from the center of the wheel to its rim. if the circumference of the rim the wheel is 48 inches, how long is the spoke? use 3.14 for pie, and round your answers to the nearest hundredths. a. 15.29 inches b. 12 inches c. 8 inches d. 7.64 inches

Answer 1

Circumference of a circle (in this case a wheel=circle)=2πr
radius=spoke=r
Data:
circumference=48 in
π=3.14

Threrefore:
48 in=2(3.14)r
6.28r=48 in
r=48 in / 6.28
r=7.64 in

answer: d. 7.64 inches.