Plane figures?

Question

find the area of the largest circle which can ce cut from a square of edge 4 in. What is the area of the material wasted?

Answer 1

The diameter of the circle must be the length of the side of the square, 4in. The radius of the circle is 2in, so its area is 2*2(pi) sq in. The area of the square is 4*4=16 sq in, so the difference between the two areas gives the area wasted: 16-4(pi)=3.434 sq in approx.