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The area of a regular hexagon inscribed in a circle with radius 2 is . Round your answer to the nearest tenth.

1 Answer

5 votes

Answer:

10.4 to nearest tenth.

Explanation:

If we draw lines from the centre of the circle to each vertex of the hexagon we get 6 equilateral triangles of side length 2.

Altitude of each triangle = sqrt(2^2 - 1^2)

= sqrt3.

So the area of 1 triangle = 1/2 * 2 * sqrt3

= sqrt3

Therefore the area of the hexagon = 6 * sqrt3

= 6sqrt3

= 10.3923

User Mateen Kajabadi
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