A regular hexagon has side 2 meters and has a circumscribed circle. What is the area of the hexagon, and what is the area of the circumscribed circle?
1 Answer
The area of hexagon
area of the circle :
Explanation:
1) Hexagon
The formula for area of a hexagon is :
The side
(
The area of hexagon
2) Circle
Observe the above diagram , each of the triangles within the hexagon are equilateral.
The angle around a point
So, the angle of each triangle
Now observe a triangle ,
Thus , the triangles are all equilateral .
The side of the hexagon
So, the area
area of the circle :