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Rectangle Diagonal

The diagonal is the hypotenuse of a right triangle whose legs are the sides, so Pythagoras gives it. Screen sizes, picture frames and whether something clears a doorway all come down to this figure.

Your numbers

Diagonal

183.58cm

Area

14,400cm²

Perimeter

500cm

Waist-to-chest

1.778

Formula

Diagonal = √(Length ² + Width ²)

The diagonal alone is not enough for moving furniture. Anything with thickness needs room to rotate, so the opening has to be a little wider than the diagonal.

What to enter

InputDefaultAccepted range
Length (cm)The measurement across, side to side.1600 and up
Width (cm)The measurement front to back.900 and up

Step by step

FormulaDiagonal = √(Length ² + Width ²)
With the default numbersDiagonal = √(160 ² + 90 ²)
AnswerDiagonal = 183.58 cm

Quick reference table

Results when only Length (cm) changes and everything else stays put.

Length (cm)Diagonal (cm)Area (cm²)Perimeter (cm)
80120.427,200340
12015010,800420
160183.5814,400500
240256.3221,600660
320332.4228,800820

What each result means

ResultAt default values
Diagonal (cm)Corner to opposite corner.183.58
Area (cm²)The space a shape covers — length squared.14,400
Perimeter (cm)The total length around the outside of a shape.500
Waist-to-chestWidth over height — the same idea as an aspect ratio.1.778

Common mistakes

The diagonal alone is not enough for moving furniture. Anything with thickness needs room to rotate, so the opening has to be a little wider than the diagonal.

Glossary

Length
The measurement across, side to side.
Width
The measurement front to back.
Diagonal
Corner to opposite corner.
Area
The space a shape covers — length squared.
Perimeter
The total length around the outside of a shape.
Waist-to-chest
Width over height — the same idea as an aspect ratio.

Frequently asked questions

Q. How is Rectangle Diagonal calculated?

Diagonal = √(Length ² + Width ²) — The diagonal is the hypotenuse of a right triangle whose legs are the sides, so Pythagoras gives it. Screen sizes, picture frames and whether something clears a doorway all come down to this figure.

Q. Can you walk through an example?

With Length 160cm, Width 90cm, the answer is Diagonal 183.58cm.

Q. What do I need to enter?

Enter Length, Width. The result recalculates as you type, and an empty box counts as zero.

Q. How much does the answer move if I change a number?

Changing only Length (cm) moves the answer to Length (cm) 80 → Diagonal (cm) 120.42 and Length (cm) 320 → Diagonal (cm) 332.42. The table below lays out five steps.

Q. How are the numbers rounded?

Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.

Q. Anything to watch out for?

The diagonal alone is not enough for moving furniture. Anything with thickness needs room to rotate, so the opening has to be a little wider than the diagonal.

Related calculators

Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.