**Areas related to Circles ncert solutions Chapter 12 Exercise 12.3 Question 11**

**11**. On a square handerchief, nine circular designs each of radius 7 cm are made. Find the area of the remaining portion of the handerchief.

**Solution:**

Area of Remaining portion=Area of square-area of 9 circles **(1)**

Side of square= sum of diameters of three adjacent circles=14+14+14=42 **cm**

Area of square= side x side=42 x 42=1764 **(2)**

Area of 9 circles **(3)**

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

**Area of Remaining portion=1764-1386=378**