How to find the area of the shaded region once a right triangle has been removed from a rectangle to create the shaded area?

The Area of the shaded region = (Area of the largest circle) - (Area of the circle with radius 3) - (Area of the circle with radius 2). Whatever is left over is the shaded region. The diameter of the largest circle is 10, so its radius is 5 and thus its area is 25π.

Step-by-step explanation:

Area of shaded region =

area of the rectangle - area of right triangle

l = length, b = breadth

Area of rectangle is l * b

b = base, h = perpendicular height

Area of triangle is 1/2*b*h

So (l * b) - (1/2 * b * h)