A merry go round has a radius of 3.5 meters. How far does a child standing at the edge travel (path length) if the wheel is rotated 13.0 radians?

To find the distance traveled by a child standing at the edge of the merry-go-round, we need to calculate the circumference of the circle created by the child's path.

We know that the radius of the merry-go-round is 3.5 meters. The circumference of a circle can be found using the formula:

Circumference = 2 * π * Radius

Plugging in the given radius value, we get:

Circumference = 2 * π * 3.5

Now, we need to multiply the circumference by the angle in radians that the wheel is rotated. The formula for calculating the distance traveled along a circular path is:

Distance = Circumference * Angle

Substituting the values we have, we get:

Distance = (2 * π * 3.5) * 13.0

Calculating this:

Distance = 90.605 meters

Therefore, the child standing at the edge of the merry-go-round travels approximately 90.605 meters.