fozzzy wrote:
If a regular hexagon is inscribed in a circle with a radius of 4, the area of the hexagon is
a) 12 root 3
b) 8 pi
c) 18 root 2
d) 24 root 3
e) 48
Image
https://s3.amazonaws.com/production.gro ... .13_pm.png
a) 12 root 3
b) 8 pi
c) 18 root 2
d) 24 root 3
e) 48
Image
https://s3.amazonaws.com/production.gro ... .13_pm.png
Regular hexagon will have six traingle regions. Central angle will be 60. (360/6)
Equilateral triangle will be formed as we have three 60 angles. Length of each side is equal to radius 4.
Area of hexagon = area of 6 eq. triangles = 6 * root 3/4 * 4^2 = 24 root3