10. 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 Fig.). Find the area of the shaded region. (Use and )
Area of an equilateral triangle is:-
Now, consider the sector :- Angle of sector is 60o and radius is 100 cm.
Thus the area of the sector:-
Thus the area of the shaded region is :