Mathematics

31.05.2020 03:32

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Find me area of the regular hexagon if the apothem is 4sqrt3 mm and a side is 8mm.

Find me area of the regular hexagon if the apothem is 4sqrt3 mm and a side is 8mm. round the the nearest whole number.
answer options: 245, 407, 333, 166

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smith12349

5,0(84 marks)

THE LAST OPTION.

Step-by-step explanation:

To calculate the area of the regular hexagon you must apply the following formula:

$A=\frac{P*a}{2}$

Where P is the perimeter and a is the apothem.

The perimeter is:

P=6*s

Where s is the lenght of a side.

Then:

P=6*8mm=48mm

Then, the area is:

$A=\frac{48mm*4\sqrt{3}mm}{2}\\A=166mm^{2}$

texas101st78

4,9(83 marks)

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Find me area of the regular hexagon if the apothem is 4sqrt3 mm and a side is 8mm.

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