What radius of a circle is required to inscribe a regular hexagon with an area of 64.95 cm2 and a apothem of 4.33 cm

Area of the hexagon is given as 64.95cm^2 and the apothem is 4.33m. The apothem divides a side of the hexagon into two equal parts. Drawing a triangle this side fro the center of the hexagon where the central angle would be 60 degrees which would lead into the conclusion that the triangle is equilateral and since the apothem divides this further into two we will have a right triangle. We use pythagorean theorem to solve the unknown side as follows:

(2x) ^2 = x^2 + 4.33^2

wherre x is one half the side of the hexagon, 2x would be the radius.

x = 2.50

Therefore, the radius would be 2.50x2 = 5 cm