The area of an equilateral triangle is . Taking each vertex as centre, a circle is described with radius equal to half the length of the side of the triangle, as shown in the figure. Find the area of that part of the triangle, which is not included in the circles.[π = 3.14 and].
Let each side of the triangle be a cm.
Then, area of the triangle = .
∴⇒⇒a = 20.
Thus the length of each side of ΔABC is 20 cm.
∴Radius of each circle = 10 cm.
Required area = (area of ΔABC) – 3(area of a sector)