Question

an equilateral triangle has each side 2 m . with all the three corners as center circles are described each of radius one metre. find the area of the remaining portion of the triangle.​

Answer 1

Side of Equilateral Triangle = 2 m

Area of Triangle = A = √3/4 a²

= √3 / 4 × 2 × 2

= √3 m²

Radius = 1 m

Area of 3 sector

= 3 × πr²ø / 360

= πr²ø / 120

= 22/7 × 1 × 1 × 1 × 60 / 120

= 22 / 7 × 1 / 2

= 11 / 7

= 1.57 m²

Area of Shaded Portion

= Area of Triangle - Area of 3 Sector

= 1.73 - 1.57

= 1.6 m²

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Answer 2

triangle's side=2m
area=√3/4×(2×2)
=√3=1.73
area of the circle
=π×(1/√3)2
=π×1/3=3.14/3=1.04
area of remaining part
=1.73-1.04
=.69m