Question 380939
A full circle is an arc of 360 degrees.

The length of an arc of 360 degrees = 2 * pi * r.

the length of an arc of x degrees is equal to x/360 * 2 * pi * r.

Same with the area.

The area of an arc of 360 degrees = pi * r^2

The area of an arc of x degrees is equal to x/360 * pi * r^2.

x is less than or equal to 360 degrees.

In your problem, you are given the diameter as 12 inches.

This makes the radius equal to 6 inches.

Work your problem accordingly.

Length of the arc = 60/360 * 2 * pi * 6 = 2 * pi

Area of the arc = 60/360 * pi * 6^2 = 60/360 * pi * 36 = 6 * pi