What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.?

The measure of the arc (S) given the angle it intercepted (A) and the radius is given by the equation,

S = (A / 360°) x (2πr)

Substituting the values to the equation above,

4 ft = (A / 360°) x (2π) (10 ft)

The value of A is 22.92°.