Question

An object moves in uniform circular motion at 25 m/s and takes 1.0 second to go a quarter circle. What is the radius of the circle?

R = _____ m

Answer 1

Object Motion: 25 m/s

Circumference of Circle:
1/4 Circumference of Circle in 1 second = 25 meters
25 meters times 4 = Circumference of Circle
Circumference = 100 meters

Formula to Find Circumference of Circle: (work opposite)
C = 2πr

100 = 2πr divided
100/2π = r simplify
50/π = r (exact radius)

Answer:
50/π meters = r (exact radius)

Answer 2

c=2
`\pi`r

100=2
`\pi`r

2
`\pi` you get 6.28
then you divide 100 and 6.28 and get 15.92.
you can round it and get 16.