Finding the radius of a circular track given arc length and angle

[DOA_Kasumi22]

Homework Statement

A car travels a distance of 745 m along a circular track, and the driver finds that she has traveled through an angle of 475°. What is the radius of the track?

Homework Equations

None that I know. The only thing I know is that the track is circular

The Attempt at a Solution

I used an example in my texbook which was identical to this one except the distance was 750 m and the angle was 450.

First I :
750/4=187.5( The 4 is from the 4 different quadrants)

Then I:
187.5/2=93.75------>94m

The solution in the back of the book said that the answer was 95 m but I'm not to sure if this is the right procedure.

This is the last homework problem that I have to complete before I turn it in before midnight.

 

[ehild]

You need to know that the length of the arc of a circle is proportional to the angle.
360° corresponds to the total circumference C of the circle. 475° angle corresponds to 745 m, so C/745=360°/475°. Calculate C. How is the circumference related to the radius?

ehild