Calculating the Radius of a Rotating Wheel Using Radians and Arc Length

[Unity]

Homework Statement

When a wheel is rotated through an angle of 35^o, a point on the circumference travels through an arc length of 2.5m. When the wheel is rotated through angles of 35 radians and 35 revolutions, the same point travels through arc lengths of 143m and 9.0 x 10²m, respectively. What is the radius of the wheel?

DeltaS = 2.5m
DeltaTheta = 35^o
r = ?

Homework Equations

r = DeltaS / Delta Theta

The Attempt at a Solution

Okay, so first i converted 35^o to radians and came out with .61 radians.
(35^o x Pie) / 180^o = .61 radians

Next I plugged the variables into the equation.
2.5m / .61 radians = 4.1m. Thus 4.1 being the radius.
My main concern is the other information that i was given, is it relevant to the problem? Or is it simply extra information?
Thanks in advance!

 

[rl.bhat]

Hi Unity, welcome to PF.
As you have said, the first information is sufficient to find the radius.

 

[Unity]

Thanks for the answer man. I'll definantly be sticking around.