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if the radius of the circle is 8 units find the area of the hexagon

If The Radius Of The Circle Is 8 Units Find The Area Of The Hexagon class=

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The sum of interior angle of the given regular hexagon is 720 degree. The area of the hexagon with side of 8 units is 96√3 square units

Area of a hexagon

The sum of interior angle of the given regular hexagon is 720 degrees


The measure of one of the angles is 120 degrees

<ABO = 120/2 = 60 degrees

Since all the angles of triangle ABO are the same, hence AB = 8 units

Determine the area of the hexagon

A = 3√3/2 a²

Substitute a = 8 units

A = 3√3/2 (8)²
A  = 3√3/2 * 64
A = 3√3 * 32

A = 96√3 square units

Hence the area of the hexagon with side of 8 units is 96√3 square units

Learn more on area of hexagon here: https://brainly.com/question/2919364

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