a Find the exact area of a regular hexagon with radius 5 cen

a. Find the exact area of a regular hexagon with radius 5 centimeters. b. Derive a formula for the area of any regular hexagon with radius r units.

Area= r²n sin(360/n)/2

r is the radius of any side

n is the number of sides

And for hexagon,n=6

Therefore area=5²*6 sin(360/6)/2

=150^* sqrt3/4 = 75sqrt3/2