d = linear distance traveled by the ball from one child to another child = 3.5 m
n = number of revolutions of the ball = 12
r = radius of the ball
C = circumference of the ball = ?
circumference of the ball is given as
C = 2πr
we know that :
linear distance traveled = number of revolutions x circumference of ball
d = n x 2πr
d = 2πr n
inserting the values
3.5 = 2 (3.14) (12) r
r = 0.046 m
D = diameter of the ball
diameter is given as
D = 2r
D = 2 (0.046)
D = 0.092 m
This question involves the concepts of the circumference of the circle and the linear distance covered by the ball.
The diameter of the ball is "9.28 cm".
The ball must cover a linear distance equal to the circumference of the ball in 1 revolution:
[tex]s = \pi d[/tex]
similarly, for 12 revolutions this becomes:
[tex]s=12\pi d[/tex]
where,
s = linear distance = 3.5 m
d = diameter of ball = ?
Therefore,
[tex]3.5\ m = 12\pi d\\\\d=\frac{3.5\ m}{12\pi}[/tex]
d = 0.0928 m = 9.28 cm
Learn more about circumference here:
https://brainly.com/question/4268218?referrer=searchResults
The attached picture illustrates circumference.
