Is an A4 sheet of paper a golden rectangle?

Updated: 9/22/2023
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9y ago

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The ratio (length : width) of the sides of a sheet of the A series of papers (of which A4 is one) is √2 : 1 ≈ 1.414 : 1

Alternatively, the ratio can be expressed as 1 : 1/√2 ≈ 1 : 0.707

A golden rectangle has sides in the ratio (length : width) of φ : 1 = (√5 + 1)/2 : 1 ≈ 1.618 : 1

Alternatively, the ratio can be expressed as 1 : 1/φ = 1 : 2/(√5 + 1) = 1 : (√5 - 1)/2 ≈ 1 : 0.618

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Q: Is an A4 sheet of paper a golden rectangle?
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Related questions

What are some objects that have a golden rectangle?

flowers, building, an A4 paper etc. mostly in nature.

What are some examples of the golden rectangle?

Sheets of paper in the A and B series (A4 being the most common).

Is A4 paper a example of the golden ratio?

No. The golden ratio is approximately 1.618. The A4 paper uses something known as the Lichtenberg ratio 1:sqrt(2). If you cut a piece of A4 paper in half, the sides of the smaller sheets would maintain the same ratio. That's why A4 is exactly half the size of an A3 sheet, and A3 is exactly half of an A2 sheet, and so on.

What is the weight of an A4 sheet?

The weight of an A4 sheet of paper can vary depending on the thickness and material of the paper. Typically, an A4 sheet of regular printer paper weighs around 5 grams.

Examples of Golden rectangles?

Any sheet of paper in the An series - A4 being the most common size for printers and copiers.

How do you use the golden rectangle in everyday life?

If you use A4 paper (rather than letter size) you are using it. every day.

Does a rectangle have a diagonal line of symmetry?

No, it does not. Take a sheet of A4 paper and fold it across the diagonal, and you will see that the two halfs do not line up.

What size paper is half of an a4 sheet?

Half of A4 is A5.

How many a4 size paper is vanguard sheet?

A standard vanguard sheet measures 22 inches by 17 inches, which is larger than an A4 sheet of paper. You would be able to fit less than one A4 sheet on a vanguard sheet.

How long is an A4 sheet of paper?

An A4 sheet measures 210 x 297 mm. An A4 sheet of paper is the more common business and school size paper in most of the world, including Europe, whereas the 8½ x 11 inch sheet of paper is the more common business size in the USA. A4 is a little taller and narrower than a US 8½ by 11 inch sheet.

How many pieces of A4 fit into A3?

Two - A sheet of A4 paper is exactly half the size of a sheet of A3.

What size paper is double an A4 sheet?