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Discover LudwigThe phrase "area of a circle" is correct and usable in written English.
You can use it when discussing geometry, mathematics, or any context involving circles and their properties.
Example: "To find the area of a circle, you can use the formula A = πr², where r is the radius."
Alternatives: "circle's area" or "area calculation for a circle".
Exact(60)
The Egyptian Rhind papyrus (c. 1650 bc) gives rules for finding the area of a circle and the volume of a truncated pyramid.
For example, to compute the area of a circle, the following algorithm is given: "multiply the diameter by itself, triple this, divide by four".
The pre-Euclidean Greek geometers transformed the practical problem of determining the area of a circle into a tool of discovery.
The circumference of a circle is given by πd, or 2πr where r is the radius of the circle; the area of a circle is πr2.
And in his piece "Take it to the Limit," Mr. Strogatz uses an infinite sum to derive the formula for the area of a circle.
Archimedes also proved that the ratio of the area of a circle to the square of its radius is the same constant.
I will never forget their weary, resigned faces as I embarked on teaching them how to calculate the area of a circle knowing full well they would fail at it again, for the fourth year in a row.
In maths, 35% of the 2,000 adults who took part in the YouGov survey said they would no longer know how to calculate the mode, 31% the median, 28% the mean and 27% the area of a circle.
Knowledge of the area of a circle was of practical value to the officials who kept track of the pharaoh's tribute as well as to the builders of altars and swimming pools.
For example, the area of a circle equals π times the square of the length of its radius, and the volume of a rectangular box is the product of its three linear dimensions: length, width, and height.
The scribe recognized that the area of a circle is proportional to the square of the diameter and assumed for the constant of proportionality (that is, π/4) the value 64/81.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com