Find the area of the regular hexagon if the radius of a circle inscribed in the hexagon is 10√3 meters.

Step-by-step explanation:

Refer to your previous question:

Radius of the inscribed circle is the apothem of the hexagon.

Apothem (a) and half of the side (s) make a 30-60-90 right triangle.

The ratio of the legs, as per property of 30-60-90 triangle:

Half the side is s = 10 units, then side of the hexagon is 20 units.

The area of the hexagon:

Correct choice is D

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube