The larger and smaller portions are the major arc and minor arc, Respectively. A central angle partitions the circle into two portions. The term diameter is also used to describe the length of a diameter, which is twice the length of the radius.Ī basic way to relate circle geometry to triangle geometry is to use an angle that has its vertex at the center of the circle.ĭEFINITION 3 A central angle of a circle is an angle whose vertex is at the center of the circle. A diameter of a circle is a chord that passes through the center of the circle.The line segment of the secant line that joins the two points on the circle is called a chord. A line that intersects two points of a circle is called a secant line of the circle.
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A line that has exactly one point in common with a circle is called a tangent line to the circle.This could cause confusion, but context will make the distinction clear. The term radius is also used to describe the fixed distance from the center to the points on the circle. Any line segment from the center that has the fixed distance as its length is a radius of the circle.The center of the circle is the given point.A circle is a set of all points that are a fixed distance from a given point.The most basic and frequently used are those involving the area and circumference of a circle. We begin with the basic definitions and include here all the terminology that will be used for the problems that involve circles. There are numerous definitions and results in this material, and it is important to have complete familiarity with the notation. Circle & Coordinate Geometry Linear Graphs and Equations The mid-point of a straight line The distance between two points The equation of a circle Tangent. Here we consider only those problems that strictly involve plane geometry. Many of the problems that involve circles are most easily solved using equations to represent that circle, but these will be postponed to a later chapter. There are many types of problems that use circles in their solution, some involving triangles as well as circles. This chapter continues the subject of geometry in the plane.
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Usually, the radius is required to be a positive number. The distance between any point of the circle and the centre is called the radius. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.