A point in the figure is selected at random. Find probability that the point will be in the shaded region

Answer:The probability that the point will be in the shaged region is 0.79Explanation:The probability of finding the random point in the shaded region is:P = area of the shaded region / total areaThe shaded region consists of two semicirles inside a square, with the diameters of the semicircles equal to the side length of the square:Call 2r the side length, then r is the length of the radii of the semicircles:Area of one semicirle = (1/2) π r²Area of the two semicirles = 2 × (1/2) π r² = π r²Area of the square = (2r)² = 4r²P = area of the two semicirles / area of the square = π r² / 4r² = π/4 ≈ 0.79