+201 The figure is made up of four identical squares of side length 12 inches. A Quadrant is drawn inside each square. Find the total area of shaded parts of figure. Use 3.14 as approximation of Pi.
+33659 Imagine the outer squares are hinged at the bottom (where they meet their adjacent squares). Rotate them about the hinge until they are below the other two squares, so a large square is formed.
The arc's then form a complete circle of radius 12 inches.
Inscribed in this circle is a square of side 12*√2 inches.
The shaded area is just the difference between the circle area and the square area. i.e.
shaded area = pi*144 - 144*2 square inches
.
+33659 Imagine the outer squares are hinged at the bottom (where they meet their adjacent squares). Rotate them about the hinge until they are below the other two squares, so a large square is formed.
The arc's then form a complete circle of radius 12 inches.
Inscribed in this circle is a square of side 12*√2 inches.
The shaded area is just the difference between the circle area and the square area. i.e.
shaded area = pi*144 - 144*2 square inches
.
