**Areas related to Circles ncert solutions Chapter 12 Exercise 12.3 Question 10**

**10.** The area of an equilateral triangle ABC is 17320.5 . With each vertex of the triangle as center, a circle is drawn with radius equal to half the length of the side of the triangle. Find the area of the shaded region (blue). (Use and )

**Solution:**

Area of region shaded in blue= Area of equilateral -Area of region shaded in orange ** (1)**

**Area of equilateral** =17320.5 ** {Given} (2)**

**cm**

Radius of circle=r=200/2=100 **cm**

Area shaded in orange = Area of three sectors of circle

**(3)**

Putting **(2)** and **(3)** in **(1)**, we get

Area of region shaded in blue=17320.5-15700=1620.5