Circle Homework Help - K-12 Grade Level, College Level Mathematics

Introduction of Circle

A Circle is a easy and very simple form of Euclidean geometry which is the set of points in the plane that are equidistant from a mentioned point that is the centre. The distance among any of the points and the centre is known as the radius.

A circle is a simple rounded curve which splits the plane into two regions: an interior & an exterior. In everyday utilize, the word "circle" can be used interchangeably to refer to either the border of the figure or to the whole figure including its interior; in technical usage the circle is the former and the later is identified as disk.

A circle can be defined as the curve traced out by a point which moves so that its distance from a known point is constant.

A circle may also be described as a special type of ellipse in which the two foci are coincident and the eccentricity is zero. Circles are conic sections attained when a right circular cone is intersected by a plane at right angles to the axis of the cone.


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Terminology of Circle

  • What is Chord: Chord is a line segment and its endpoints lie on the circle.
  • What is Diameter:  Diameter is known as the longest chord, a line segment whose endpoints lie on the circle and which goes through the centre; or the length of such a segment, it is the largest distance among any two points on the circle.
  • Define Radius: Radius is a line segment joining the center of the circle to any point on the circle itself; or the length of such a segment; it is measured as half as the diameter.
  • Circumference: length of one circuit along the circle itself.
  • Tangent of a Circle: tangent is a straight line that touches the circle at a single point.
  • Secant: It is an extended chord, a straight line which cutting the circle at two points.
  • Define Arc: arc is any connected part of the circle's circumference.
  • Sector: it is a region enclosed by two radii and an arc lying between the radii.
  • Segment: segment is a region enclosed by a chord and an arc lying between the chord's endpoints.

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