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- A circle is a closed, curved, two-dimensional shape that has the following characteristics1234:
- Every line through the centre forms a line of reflection symmetry, and it has rotational symmetry around the centre for every angle1.
- Its circumference and radius are proportional, and the diameter is the longest chord14.
- All circles are similar, and two circles are congruent if they have the same radius124.
- Equal chords are equidistant from the centre, and subtend equal angles at the centre24.
- The perpendicular bisector of a chord passes through the centre, and the radius drawn perpendicular to the chord bisects the chord24.
- A circle can circumscribe a rectangle, trapezium, triangle, square, or kite4.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry, and it has rotational symmetry around the centre for every angle. Its symmetry group is the orthogonal group O(2,R). The group of rotations alone is the circle group T. All circles are similar. A circle circumference and radius are proportional.
en.wikipedia.org/wiki/CircleHere is a list of properties of a circle: A circle is a closed 2D shape that has one curved face. Two circles can be called congruent if they have the same radius. Equal chords are always equidistant from the center of the circle. The perpendicular bisector of a chord passes through the center of the circle.www.cuemath.com/geometry/circles/A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed shape, two-dimensional shape, curved shape. A few things around us that are circular in shape are a car tire, a wall clock that tells time, and a lollipop.www.splashlearn.com/math-vocabulary/geometry/c…Some of the important properties of the circle are as follows:
- The circles are said to be congruent if they have equal radii
- The diameter of a circle is the longest chord of a circle
byjus.com/maths/properties-of-circle/ - People also ask
What is a Circle? Definition, Formulas, Properties, Examples
A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed shape, two-dimensional shape,curved shape. A few things around us that are circular in shape are a car tire, a wall clock that tells time, and a lollipop. See more
The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. This distance is called the radius of the circle. Here, point P is the center of the circle. See more
Semi means half, so semicircle is half a circle. It is formed by cutting a whole circle along a line segment passing through the center of the circle. … See more
Quarter means one-fourth. So, a quarter circle is a quarter of a circle, formed by splitting a circle into 4 equal parts or a semicircle into 2 equal parts. A quarter circle is also called a … See more
Consider the circle with center P and radius r. A circle has an interior and an exterior region. All those points for which the distance is less than the radius of a circle lie in the interior of the circle. For example points P, Q, and R lie in the interior of the circle. … See more
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Properties of Circle with Definition and Formulas
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• The circle is the shape with the largest area for a given length of perimeter (see Isoperimetric inequality).
• The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry, and it has rotational symmetry around the centre for every angle. Its symmetry group is the orthogonal group O(2,R). The group of rotations alone is the circle group T.Wikipedia · Text under CC-BY-SA licenseCircles | Geometry (all content) | Math | Khan Academy
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WEBJan 24, 2023 · In Mathematics, there are numerous properties of circles focusing on geometry. Its relationship to straight lines, polygons, and angles may also be shown. …
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