By definition, the apothem of a pentagon is given by the following mathematical formula:
ap = ((L) / (1.45))
Where
ap: apotema
L = side.
The length of a side of the pentagon is
L = (ap) * (1.45)
Substituting
L = (7.43) * (1.45) = 10.77 cm
The radius of the circumscribed circle can be found by the Pythagorean
theorem in the following way:
r = root ((L / 2) ^ 2 + (ap) ^ 2)
substituting
r = root ((10.77 / 2) ^ 2 + (7.43) ^ 2) = 9.17 cm
answer:
L = 10.77 cm
r = 9.17 cm
