Q. 104.0( 269 Votes )

The area of an eq

Answer :

Let the side of the equilateral triangle be a

Area of equilateral triangle = 17320.5 cm2


(a)2 = 17320.5


(a)2 = 17320.5


a2 = 4 × 10000


a = 200 cm


Each sector is of measure 60° as each angle of an equilateral triangle is 60º.


Area of each sector =  × π × r2


=  × π × (100)2


=


= cm2


Area of shaded region = Area of equilateral triangle - 3 × Area of each sector


= 17320.5 – 3 *


= 17320.5 – 15700


= 1620.5 cm2

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