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Circles

Circle illustration
Circle illustration

In classical geometry, a radius (plural: radii) of a circle or sphere is any line segment from its center to its perimeter. Geometry ( Greek γεωμετρία; geo = earth metria = measure is a part of Mathematics concerned with questions of size shape and relative position Circles are simple Shapes of Euclidean geometry consisting of those points in a plane which are at a constant Distance, called the "Globose" redirects here See also Globose nucleus. A sphere (from Greek σφαίρα - sphaira, "globe In Geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its end points The perimeter is the distance around a given two-dimensional object By extension, the radius of a circle or sphere is the length of any such segment. Length is the long Dimension of any object The length of a thing is the distance between its ends its linear extent as measured from end to end The radius is half the diameter. Geometry, a diameter of a Circle is any straight Line segment that passes through the center of the circle and whose Endpoints are on the In science and engineering the term radius of curvature is commonly used as a synonym for radius. Radius of curvature is a term characterizing the measure of how curved or bent a given Curve or Surface is

More generally—in geometry, engineering, graph theory, and many other contexts—the radius of something (e. Geometry ( Greek γεωμετρία; geo = earth metria = measure is a part of Mathematics concerned with questions of size shape and relative position Engineering is the Discipline and Profession of applying technical and scientific Knowledge and In Mathematics and Computer science, graph theory is the study of graphs: mathematical structures used to model pairwise relations between objects g. , a cylinder, a polygon, a graph, or a mechanical part) is the distance from its center or axis of symmetry to its outermost points. A cylinder is one of the most basic curvilinear geometric shapes the Surface formed by the points at a fixed distance from a given Straight line, the axis In Geometry a polygon (ˈpɒlɨɡɒn ˈpɒliɡɒn is traditionally a plane figure that is bounded by a closed path or circuit In Mathematics and Computer science, graph theory is the study of graphs: mathematical structures used to model pairwise relations between objects Distance is a numerical description of how far apart objects are In Geometry, the centre (or center, in American English of an object is a point in some sense in the middle of the object Reflection symmetry, line symmetry, mirror symmetry, mirror-image symmetry, or bilateral symmetry is Symmetry with respect In this case, the radius may be more than half the diameter.

The relationship between the radius and the circumference of a circle is r=\frac{c}{2\pi}. The circumference is the distance around a closed Curve. Circumference is a kind of Perimeter.

To compute the radius of a circle going through three points P1,P2,P3, the following formula can be used:

r=\frac{|P_1-P_3|}{2\sin\theta}

where θ is the angle  \angle P_1 P_2 P_3.

A radius may also be applied to arithmetic. Arithmetic or arithmetics (from the Greek word αριθμός = number is the oldest and most elementary branch of mathematics used by almost everyone Where 4,5,6,7,8,9 and 10 can be in a three number radius of 7.

Polygons

Regular polygons are sometimes said to have a radius, defined as the distance from the center to a vertex. This is the same as the radius of a circumscribed circle with the same center. This latter formulation is sometimes used to define the radius of an arbitrary polygon and is called the circumradius.

See also

The radius is the Bone of the Forearm that extends from the lateral side of the elbow to the Thumb side of the Wrist. In Mathematics, the radius of convergence of a Power series is a non-negative quantity either a real number or \scriptstyle \infty that represents a

Dictionary

radius

-noun

  1. (anatomy) The long bone in the forearm, on the side of the thumb.
  2. (geometry) A line segment between any point on the circumference of a circle and its center/centre.
  3. (geometry) The length of this line segment.
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