Math, asked by kovidhmukkamala, 17 days ago

the sides of regular hexagon of length 2cm are extended the alternate sides meet in 6 new points.the area of star shaped region so obtained is​

Answers

Answered by pandeymadhu247
0

The extended alternate side forms a triangle with the included side of the hexagon.

It's a equilateral triangle with side 2 cm.

So we have such 6 equilateral triangles in the star.

The area of the star shaped region = Area of hexagon + area of 6 equilateral triangles

= 2× 6× area of one equilateral triangle

=12×(2)²×√3=12√3 cm

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4

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