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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

Respuesta :

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)
c=2[tex] \pi [/tex]r

100=2[tex] \pi [/tex]r

 2[tex] \pi [/tex] you get 6.28
then you divide 100 and 6.28 and get 15.92.
you can round it and get 16. 

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