Posted by **Amey** on Thursday, October 5, 2006 at 6:14pm.

It takes ten identical pices to form a circular track for a pair of toy racing cars. If the inside arc of each pair is 3.4 inches shorter than the outside arc, what is the width of the track?

any help would be greatly appreciated.

If you know that the circumference is C=2pi*r where r is the radius, then the total difference between the inside and outside radii is 10*3.4=34in. This means 2pi*r+34=2pi*R where r and R are the inner and outer radii respectively. Note that R-r is the track width.

Thus 34=2pi*R-2pi*r= 2pi(R-r) so

34/(2*pi) = R-r = track width

## Answer this Question

## Related Questions

physics - A skateboard track has the form of a circular arc with a 3.20 m radius...

Pre Calculus - There are ten equal parts to a circular track for 2 toy cars and ...

geometry - If the arc on a particular circle has an arc length of 14 inches, and...

geometry - If the arc on a particular circle has an arc length of 14 inches, and...

geometry - If the arc on a particular circle has an arc length of 14 inches, and...

Math - A train track is 5280ft. long. After adding another foot of track, an arc...

physics - A stunt man whose mass is 70 kg swings from the end of a 4.4 m long ...

Math - A circular piece of wire has a radius of 12 cm. This is cut then bent to...

geometry - arc AB is 55 degrees. the radius of the circle is 4 inches. what is ...

Geometry - Find the arc length, of a 130 degree arc, in a circle with a diameter...