a car travels 1 km in which each wheel makes 450 revolutions. Find the radius of its wheel

Answer 1

one rotation covers 2πr metres
so distance covered in 450 rotations
= 450(2πr) = 900πr metres
but 900πr = 1000
r = 1000/(900π) = 10/(9π) m or appr. .3536 m
the radius is 35.36 cm

Answer 2

NO. OF REVOLUTIONS = 450
DISTANCE= 1KM = 1000M
CIRCUMFERENCE = 1000 450 = O.22 M
0.22= (2)(227)R
1.54= 44R
1.54/4= R
0.353535 M = R
R= 35.35 cm