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Numbers · geometry · squareArea of a square — formula and calculator

Work out the area of a square with the formula S = a² — your numbers substituted and a diagram drawn. The perimeter is calculated too. Units can be mixed, and the answer comes in the units you need, hectares and acres included.

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01Calculator02Formula03Example04Mistakes05Nearby06Related
01

Calculator

enter the sizes — the formula and diagram follow

Square

area · perimeter
a = 4 cm
diagram · not to scale
Result
Area
16cm²
= 0.0016 m²
Perimeter
16cm
= 0.16 m
How it was calculated
S = a² = 4² = 16 cm²
P = 4a = 4 × 4 = 16 cm
← Other shapes and the composite shape
02

Formula

and what each letter means
Area
S = a²
Perimeter
P = 4a
Notation
a
side length
03

Worked example

with real numbers
Givena = 4 cm
Solution
S = a² = 4² = 16 cm²
P = 4a = 4 × 4 = 16 cm
Answer: area — 16 cm², perimeter — 16 cm.
04

Common mistakes

The area is a², not 4a: 4a is the perimeter, the length of the boundary.

If you know the diagonal d, the side is d / √2 and the area is d² / 2.

05

Nearby shapes

RectangleS = a × bRhombusS = d₁ × d₂ / 2CubeV = a³CalculatorAll 19 shapes, the composite shape and hectares →
м · км

Length converter

Metres, feet, inches, miles
кг · г

Weight converter

Grams, pounds, ounces
%

Percent and VAT

Shares, mark-ups, VAT
2·8·16

Number bases

Binary, octal, hex

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