Mensuration Practice Test 7

Question : 22 of 40

Marks: +1, -0

Find the area of the hexagon inscribed in a
circle with the radius of 2 m.

8.64 $m^2$
5 $√2 m^2$
9 $√5 m^2$
6 $√3 m^2$

Solution:

A regular hexagon inscribed in a circle consists of 6 equilateral triangles with each of its vertex equal to radius of the circle.
Area of the equilateral triangle
=

√3/4 a^2

√3/4 (2)^2

√3 m^2

Area of the hexagon = 6 × area of the equilateral triangle
=

6×√3

6√3 m^2

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