In a circle a 60 sector has an area of 25 pi square feet. what is the circumference? leave your answer in terms of pi and in simplest radical form.

The area of the sector is given by the equation,

A = πr² (x / 360°)

where x is the number of degrees in the figure.

25π ft² = (πr²) (60/360)

The value of r is 12.25 ft. Then, we use this value to calculate for the circumference of the sector.

C = 2πr (x/360)

Substituting,

C = 2π (12.45) (60/360)

C = 12.83 ft³