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General Information, Facts & Tables
[Square Calculator]

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Overview

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A square is a four sided plane figure (quadrilateral) with all sides and (right 90º) angles equal.
 
See Also: Open Another, Using the Calculators

Note! Calculator Under Construction.(adding measurement unit values)

 

Image

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GeoSqr01.gif

 

Formula

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Required

Known

Side (S)

Diameter (D)

Perimeter (P)

Area (SA)

Circumscribed. Circle
Radius (R)

Inscibed Circle
Radius (r)

Side (S)

-

 S = (D * Ö2) / 2

- S = P / 4

S = ÖSA

S = R * Ö2

S = r * 2

Diameter (D)

D = S * Ö2

-

D = (P x Ö2) / 4-

D = Ö(2 * SA)

D = R / 2

D =

Perimeter (P)

P = 4 * s

P = D * 2 * Ö2

-

P = ÖSA * 4

P =

P = r * 8

Area (SA)

SA = S2

SA = D 2 / 2

SA = P2 / 16-

 -

SA =

SA = (r * 2)2

Circumscribed Circle Radius (R)

R  =S / 2

R = D / 2

R =

R =

 -

R = Ö(2 *r 2)

Inscribed Circle (r)

r = S

r =

r = P / 8

r = (ÖSA) / 2

r = Ö(R2 / 2)

 -

 

Units

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S = Side.
D = Diagonal
r = Inscribed circle radius (1/2 the diagonal (D) length).
R = Circumscribed circle radius (1/2 the length of a side (S)). 
SA = Surface Area.
P = Perimeter ( not shown on diagram)= 4 x length of side (S).
H = Half length of side (equal to r)
h = Half corner angle (45º)
 

Calculator

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S: []

 

D: [

P: []

SA: [

R : [

r: []

Note! Set unit values prior to calculating.
 

Notes

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Variables are in blue text
Numbers are in red text
Operators are in green text