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In geometry, a diameter of a circle is any straight line segment that passes through the centre of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle. Both definitions are also valid for the diameter of a sphere . In more modern usage, the length of a diameter is also called the diameter.
t. e. In geometry, the circumference (from Latin circumferens, meaning "carrying around") is the perimeter of a circle or ellipse. [ 1] The circumference is the arc length of the circle, as if it were opened up and straightened out to a line segment. [ 2] More generally, the perimeter is the curve length around any closed figure.
The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and because the sequence tends to a circle, the corresponding formula–that the area is half the circumference times the radius–namely, A = 1 2 × 2πr × r, holds for a circle.
In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof. [ 1][ 2][ 3]
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of the circle and the centre is called the radius. The circle has been known since before the beginning of recorded history.
Mathematically, the radius of a circle is half the diameter, so the correct turning radius in this example would be 11.6 m / 2 = 5.8 m. However, another source lists the turning radius of the same vehicle as also being 11.6 m, [ 5 ] which is the turning diameter.
Disk (mathematics) In geometry, a disk ( also spelled disc) [ 1] is the region in a plane bounded by a circle. A disk is said to be closed if it contains the circle that constitutes its boundary, and open if it does not. [ 2] For a radius, , an open disk is usually denoted as and a closed disk is . However in the field of topology the closed ...
The diameter of the circle is the line joining point A and B. The centre of the circle is the intersection of this line with the σ n {\displaystyle \sigma _{\mathrm {n} }} -axis. Knowing both the location of the centre and length of the diameter, we are able to plot the Mohr circle for this particular state of stress.