hmmm if we take the whole area of the rectangle, well the rectangle is a 6x5, so the whole of its area is 6*5 = 30 in².
now, we have a circle inside, it really doesn't matter if it's in the center or corner so long is inside, hmmm well, we know it has a radius of 1, so let's get the area of the circle, and then subtract that area from that of the whole rectangle, by subtracting it we're in essence making a whole in the rectangle's area and what's leftover is the shaded region, that part that was not subtracted.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(6)(5)}~~ - ~~\stackrel{circle}{\pi (1)^2}}\implies 30~~ - ~~\pi \implies 30~~ - ~~3.14\implies 26.86[/tex]
