Answer:
Step-by-step explanation:
Refer to your previous question:
- https://brainly.com/question/22624022
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:
- s : a = 1 : √3 ⇒ s : 10√3 = 1 : √3 ⇒ s = 10
Half the side is s = 10 units, then side of the hexagon is 20 units.
The area of the hexagon:
- A = 1/2Pa, P- perimeter, a- apothem
- A = 1/2(6*20)*(10√3) = 600√3
Correct choice is D
