What is 360 degrees: Definition and 13 Discussions

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre; 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. The distance between any point of the circle and the centre is called the radius. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted.
Specifically, a circle is a simple closed curve that divides the plane into two regions: an interior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure, or to the whole figure including its interior; in strict technical usage, the circle is only the boundary and the whole figure is called a disc.
A circle may also be defined as a special kind of ellipse in which the two foci are coincident and the eccentricity is 0, or the two-dimensional shape enclosing the most area per unit perimeter squared, using calculus of variations.

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  1. P

    Calculation of time taken for a motor to rotate an object 360 degrees

    How would I go about calculating the time taken for the motor on page 2 to move the attached beam 360 degrees? Things such as the rpm and voltage are given in the attached data sheet for various different motors and you can reference anyone you like. I'm more interested in understanding what's...
  2. archieab

    Converting PyGame 2 axis joystick float to 360 angle

    I would like to convert my joystick's two axis float (horizontal and vertical) to a 360 angle that can be used to set a players direction in my game. From my research, I've found the best route to take is using Atan2. Variables: self.rot = 0 horaxis = joy1.get_axis(0) veraxis = joy1.get_axis(1)...
  3. DaTario

    I 360 degrees and the Golden Ratio

    Hi All, I have just found in the internet an identity showing that the Golden Ratio can be expressed as a function of the cosine of the angle of 36 degrees. It seemed to me as an important fact related to this specific angle. Had this fact, historically, any relevance to the choice of the 360...
  4. D

    Proofing that All Arcs of a Circle = 360 Degrees

    Im doing a proof. For instance all sums of a triangle add upp to 180 degrees. But how to i motivate that all arcs on a circle add up to 360 degrees. A part of my proof is that Arc A + B + C = 360 degrees. But i don't know what to write in the column that motivates every step. ! Like a lap is...
  5. S

    360 Degree rotating mains plug socket?

    Hello, I am wondering if anyone can provide a solution to a problem I have come across at work. I have a 360 rotating platform for photography being installed in a couple of weeks and need to a solution to providing power to the objects I put on it. To give you a bigger picture we photograph...
  6. D

    How do you rotate an electron 360 degrees?

    I went through an undergraduate physics program and I've internalized the results of the Stern–Gerlach experiment to the point where it makes more sense to me than the classical version. However, one thing I somehow missed (or maybe it wasn't taught) is what "must rotate an electron 720...
  7. R

    Is it possible to pump a swing 360 degrees?

    Is it possible to "pump" a swing 360 degrees? Homework Statement Is it possible to "pump" a swing so that it turns in a complete circle? Assume if you wish that the seat of the swing is connected to its support by rigid rod rather than a rope or chain. Homework Equations Angular momentum...
  8. M

    Unit Circle: 360 Degrees = 2(pi) Radians

    The book talks about a unit circle... 360 deg = 2(pi) rad if it wasnt a unit circle... say r = 4 would it then be 360 deg = 8(pi) rad?
  9. V

    Do trapezium angles have to equal 360 degrees?

    The four sided, a=110.50 ft, b=165.27, c=162.18, and d=a slightly curved line of 146. ft-- (from point to point, it still seems to be 146 feet,) anyway---This from a land survey---I believe the distances of width, center point and (height) can "prove" by the angles. The people I have been...
  10. C

    Speed & Distance to rotate 360 degrees

    I have a two part problem to figure out regarding a vehicle loosing control without any outside force except driver input in which it rotates 360 degrees in one direction on a .7f coefficient of friction curved narrow exit ramp. What speed and over what linear distance would be required to...
  11. K

    The Mystery of 360 Degrees in a Circle

    Does anyone know why there is 360 degrees in a circle? Why not 100 for simplicity sake?
  12. W

    Exploring the Mysterious History of 360 Degrees in a Revolution

    Why was the number '360' chosen to be the number of degrees in a complete revolution? How far back does the number go?
  13. M

    A square has 360 degrees, if you measure the degrees on the outside,

    A square has 360 degrees, if you measure the degrees on the outside, what degree do you get?