What is the total of the angles if a pentagon is inscribed in a circle?

The total of the interior angles of any polygon, including a pentagon, is calculated using the formula ( (n - 2) \times 180^\circ ), where ( n ) is the number of sides. For a pentagon, which has 5 sides, the total interior angles is ( (5 - 2) \times 180^\circ = 3 \times 180^\circ = 540^\circ ). This holds true whether the pentagon is inscribed in a circle or not.