Pentagon Calculator

A regular pentagon is a polygon with 5 vertices. This form is often used in construction and architecture. Enter one of the known values, then click calculate.

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Pentagon Calculator

Side length (a)
Diagonal (D)
Height (h)
Периметр(p)
Square (S)
The radius of the circumscribed circle (R)
Radius of the inscribed circle (r)

Formulas:

d = a / 2 * ( 1 + √5 )
h = a / 2 * √ 5 + 2 * √5
Р = 5 * а
S = a2 / 4 * √ 25 + 10 * √5
R = a / 10 * √ 50 + 10 * √5
r = a / 10 * √ 25 + 10 * √5
Angle: 72°, 5 sides.

S is the area, p is the perimeter
Sides are equal, angles are equal = 72 degrees
The diagonals form a pentagram
Height of the pentagon h
Lines bisecting the inner corners
Inscribed and circumscribed circle