circle
A circle is a two-dimensional geometric shape that consists of all points in a plane that are equidistant from a fixed center point
A circle is a two-dimensional geometric shape that consists of all points in a plane that are equidistant from a fixed center point. It is a closed curve with no edges or corners. The center is the point in the middle of the circle, and the distance from the center to any point on the circle is called the radius. The diameter of a circle is the distance across the circle passing through the center, and it is twice the length of the radius.
The circumference of a circle is the distance around its outer boundary. It can be calculated using the formula C = 2πr (where π is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle). The area of a circle is the measure of the surface enclosed by the circle, and it can be calculated using the formula A = πr^2.
Circles appear in various disciplines of mathematics and have numerous applications in real life. They are used in geometry for understanding properties like tangents, chords, and secants. In trigonometry, circles are utilized to define the unit circle, which helps in understanding the trigonometric functions.
Circles are commonly found in nature and man-made objects, such as wheels, clock faces, and planetary orbits. The symmetrical nature of circles makes them aesthetically pleasing, and they play a significant role in art, architecture, and design.
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