Question

Question 81 See image below Explain step by step As fast as possible

Answer 1

step by step in sequence manner you also remove the (1) , (2) etc

(1) : let the centre of this three circle is o,o',o''

(2) : construct a triangle through this centres

    this triangle is equilateral because the radius of each circles is same

    so the side of triangle is 6 cm

(3) : find the area of equilateral triangle by √3/4 * (6)^2 = 9√3 cm^2

(4) : find the area of each sector which is made by triangle

which angle = 60 (because it is equilateral triangle)

area of each sector , = 60/360 * pie * r^2

1/6 * pie * 3*3 = 3/2 * pie

(5) : area of shadded region = area of triangle - area of this three sectors

 = 9√3 - 3 (3/2 * pie)

= 9√3  -9/2 * pie

= (18√3 - 9 * pie)/2 = 9/2 (2√3 - pie) cm ^2

option (2) is correct