Question

Find the area of the shaded region inside the square. ​

Answer 1

Check the picture below.

so hmmm if we just take the whole are of the 2x2 square, and then get the area of each of those circles with a radius of ½, and subtract the area of the circles from that of the square, what's leftover is what wasn't subtracted, namely the shaded region.

`\stackrel{ \textit{\LARGE Areas} }{\stackrel{ square }{(2)(2)}~~ - ~~\stackrel{ \textit{four circles} }{4( ~~ \pi ((1)/(2))^2 ~~ )}}\implies 4-\pi ~~ \approx ~~ \text{\LARGE 0.86}~cm^2`