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Circles

A circle is defined as a set of points all with the same distance from a center point. Algebraically a circle can be described by the standard equation of a circle. Graphically, a circle is flat, symmetric, and round.
Circles can be used to model various situations in nature and are also frequently used in art and architecture.
In this chapter the measurements of circles are explored. These include the radius and the diameter of a circle and the rules for how to find the circumference and the area of a circle are introduced.
There is a special ratio between the circumference and the diameter of a circle. This ratio, or constant, is called (pi). Knowledge and understanding of this constant is necessary in order to be able to find the area and/or the circumference of a circle.
Further in the chapter circle intersections and inscriptions will be studied. Intersections include lines and segments that intersect a circle. Inscription of angles mean that one or more angles are drawn in a circle. A polygon, such as a triangle or a square, is said to inscribed if all of its vertices lie on a circle.
Mathleaks e-Courses is a digital curriculum following the common core. It can be used as a stand-alone curriculum or as a supplement to already used textbooks. The e-Courses consist of theory with animated instructions, problem solving exercises with solutions, practice tests, videos and printable worksheets.

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