Question

In the diagram below, square ABCD has side lengths of 6 inches. Arc AC has been drawn with center at point D. Which of the following is closest to the shaded area in square inches?

Answer 1

7.73

Explanation:

In the picture attached, the diagram is shown.

Area of square = side² = 6² = 36 in²

The non-shaded area is quarter the area of the circle's area with radius = side of the square. This area is: (1/4)*π*radius² = (1/4)*π*6² = 28.27 in²

Therefore, the shaded area is: Area of square - non-shaded area = 36 in² - 28.27 in² = 7.73 in²