Question 11 - Important Area Questions - Chapter 11 Class 10 Areas related to Circles

Transcript

Question 11 On a square handkerchief, nine circular designs each of radius 7 cm are made (see figure). Find the area of the remaining portion of the handkerchief. Area of remaining portion = Area of square Area of 9 circles Here, handkerchief is made up of contributing 9 circles. So, Side of square = 3 Diameter of circle Here, Radius of circle = 7 cm Diameter of circle = 7 2 = 14 cm So, Side of square = 3 14 = 42 cm Area of square = (side)2 = (42)2 = 42 42 = 1764 cm2 Area of one circle = 2 = (7)^2 = 22/7 7 7 = 22 7 = 154 cm2 Area of 9 circles = 9 Area of one circle = 9 154 = 1386 cm2 Area of remaining portion = Area of square Area of 9 circles = 1764 1386 = 378 cm2 Hence, Area of remaining portion = 378 cm2