Find the area of the shaded region. Round your answer to the nearest hundredth.
The whole area = (8m)^2 = 64m^2
And the area outside the shaded region is comprised of 4 quarter circles each with a radius of 4m
But the area of 4 identical quarter circles each with a radius of 4m is the same as the the area of a whole circle with the same radius....and this area is given by pi*(4m)^2 = 16pi m^2
So....the area of the shaded region = [64 - 16pi]m^2 = about 13.73m^2
The whole area = (8m)^2 = 64m^2
And the area outside the shaded region is comprised of 4 quarter circles each with a radius of 4m
But the area of 4 identical quarter circles each with a radius of 4m is the same as the the area of a whole circle with the same radius....and this area is given by pi*(4m)^2 = 16pi m^2
So....the area of the shaded region = [64 - 16pi]m^2 = about 13.73m^2