Question

The area of an equilateral triangle ABC is 17320.5 cm². With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see figure). Find the area of the shaded region. (Use π = 3.14 and √3 = 1.73205)

Answer 1

Let each side of the equilateral triangle be x cm. Then,
Area of equilateral triangle ABC = 17320.5 cm² (Given)

Now, area of shaded region