You can draw a special circle inside every triangle, called the incircle, where each of the three triangle sides are tangent to the circle.The result comes out as 256/81, which is about 3.16 (close to pi). Written in 1700 BCE, the Rhind papyrus describes a method of finding the area of a circle. ![]() A circle is a special type of ellipse where the two foci are in the same location and the eccentricity is 0.The full arc of circle measures 360 degrees.Archimedes proved the area enclosed within a circle is the same as the area of a triangle with a base the length of the circle’s circumference and height equal to the circle’s radius.Pi (π) is an irrational number that is the ratio of a circle’s circumference to its diameter.It has rotation symmetry for every angle around its center. The circle is the most symmetric shape because every line through the center is a line of reflection symmetry.A circle is the shape with the shortest perimeter enclosing an area.The longest distance between two points on a circle is the diameter, which is a line segment running through the center.The distance from the center to the circle is its radius.The distance around a circle is its circumference.Natural circles include the shapes of the Sun and Moon, the human eye, tree cross-sections, some flowers, some shells, etc. Humans have recognized circles since ancient times.A straight line is a circle containing an infinite area. ![]()
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