a square is inscribed in an equilateral triangle that is inscribed in a circle. which represents the area of…

a square is inscribed in an equilateral triangle that is inscribed in a circle. which represents the area of the shaded region? area of the circle - area of the square - area of the triangle area of the triangle - area of the square + area of the circle area of the triangle + area of the square + area of the circle area of the circle - area of the triangle + area of the square

a square is inscribed in an equilateral triangle that is inscribed in a circle. which represents the area of the shaded region? area of the circle - area of the square - area of the triangle area of the triangle - area of the square + area of the circle area of the triangle + area of the square + area of the circle area of the circle - area of the triangle + area of the square

Answer

Explanation:

Step1: Analyze shaded - region composition

The shaded region is the part of the circle that is not part of the triangle but includes the part of the square that is inside the circle and outside the triangle.

Step2: Determine area formula

The area of the shaded region is the area of the circle minus the area of the triangle plus the area of the square (because when we subtract the area of the triangle from the area of the circle, we subtract the part of the square that is inside the triangle too much, so we need to add the area of the square back).

Answer:

area of the circle - area of the triangle + area of the square