Two go-carts are racing on a circular track with a perimeter of 360 feet. Camera One is following Go-Cart One, and Camera Two is following Go-Cart Two. If the angle between the two cameras is 40 degrees, how far apart are the two go-carts?

Two go-carts are racing on a circular track with a perimeter of 360 feet. Camera One is following Go-Cart One, and Camera Two is following Go-Cart Two. If the angle between the two cameras is 40 degrees, how far apart are the two go-carts?

Detailed Explanation

A circle is 360 degrees, so 40 degrees is 1/9 of a circle (360 ÷ 40 = 9).

To get the answer of 40 feet, multiply the perimeter of the track \(\frac{\mathrm{1} }{\mathrm{9}}\) (360 × \(\frac{\mathrm{1} }{\mathrm{9}}\) = 40).

To get the answer of 40 feet, multiply the perimeter of the track \(\frac{\mathrm{1} }{\mathrm{9}}\) (360 × \(\frac{\mathrm{1} }{\mathrm{9}}\) = 40).