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The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and because the sequence tends to a circle, the corresponding formula–that the area is half the circumference times the radius–namely, A = 1 / 2 × 2πr × r, holds for a circle.
Among English-speaking typographers the symbol may be called a "slashed O" [1] or "o with stroke". Although these names suggest it is a ligature or a diacritical variant of the letter o , it is considered a separate letter in Danish and Norwegian, and it is alphabetized after z — thus x , y , z , æ , ø , and å .
Proposition one states: The area of any circle is equal to a right-angled triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference of the circle. Any circle with a circumference c and a radius r is equal in area with a right triangle with the two legs being c and r.
The ratio of a circle's circumference to its diameter is π (pi), an irrational constant approximately equal to 3.141592654. The ratio of a circle's circumference to its radius is 2 π. [a] Thus the circumference C is related to the radius r and diameter d by: = =.
The central stroke of an s is known as the spine. [6] When the stroke is part of a lowercase [4] and rises above the height of an x (the x height), it is known as an ascender. [7] Letters with ascenders are b d f h k l. A stroke which drops below the baseline is a descender. [7] Letters with descenders are g j p q y.
The diameter of a circle is exactly twice its radius. However, this is true only for a circle, and only in the Euclidean metric . Jung's theorem provides more general inequalities relating the diameter to the radius.
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Measurement of tree circumference, the tape calibrated to show diameter, at breast height. The tape assumes a circular shape. The perimeter of a circle of radius R is .Given the perimeter of a non-circular object P, one can calculate its perimeter-equivalent radius by setting