Four equal circles, each of radius a, touch each other. Show that the area between them is
.
Radius of each circle = a meter
If we join the centre of each circle it makes a square of side = 2a
Area of square = (2a)2 = 4a2m2
Area of each quadrant of circle = 
Area of 4 quadrants = 
So,
Area between circles = 4a2 – πa2
8