What is Circumference: Definition and 110 Discussions

In geometry, the circumference (from Latin circumferens, meaning "carrying around") is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
Circumference may also refer to the circle itself, that is, the locus corresponding to the edge of a disk.

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  1. K

    Proove its a circumference

    pre-cal proofs i need help with doing proofs. Question- prove that the graph of the equation x² + y² - 2x + 4y=0, is a circumference. find find the center of it and the radius.
  2. L

    Approximating the Circumference of an Ellipse with Parametric Equations

    An ellipse has an equation which can be written parametrically as: x = a cos(t) y = b sin(t) It can be proved that the circumference of this ellipse is given by the integral: \int^{2\pi}_0 \sqrt{a^2 \sin^2 t + b^2 \cos^2 t} \ \ dt Prove that, if a=r(1+c) and b=r(1-c), where c is a...
  3. C

    Ratio of a circle's circumference to its diameter

    Hi everybody, My question is: how do we prove that the ratio of a circle's circumference to its diameter is a certain real number, the same for any circle (which we call pi)? If the proof is difficult to post, could you suggest some books that may include it because i haven't found one yet...
  4. ranger

    Ping + measure circumference of earth

    I can remember reading somewhere that the ping command can be used to measure the circumference of the Earth or something similar. Does anyone know how to do this, or have a link to the article? --thanks
  5. M

    Reduced Circumference: Schwarzschild vs Kerr Metric

    Okay, I understand that the r-coordinate in the Schwarzschild metric represents the reduce circumference. My problem is that the r-coordinate in the Kerr metric is NOT the reduced circumference! What is it? Somebody, please answer this as quickly and as painlessly as possible! Thank You
  6. G

    Find magnetic field at point on Circumference

    Find magnetic field at point on Circumference/Ampere-Maxwell Eq. A uniform electric field points in the z direction with a value given by EZ(t) = a+bt, with a = 18 V/m and b = 2 V/(m s). The electric field is confined to a circular region in the xy plane with radius R = 4 meters. What is the...
  7. A

    Numerically determine area and circumference

    Hey guys I'm currently making a small game (simple space game) and have a problem with numerically determine area and circumference of a ball that is being thrown. The problem is presented here: http://trasigkondensator.tripod.com/ball.htm Thanks in advance
  8. Loren Booda

    Density of circles centered on like circumference

    Imagine a circle of given radius. Construct all circles of equivalent radii whose centers constitute that initial circumference. Can you derive a probability density that describes the overall distribution of points from those resultant circles?
  9. tandoorichicken

    How is the Length of an Elliptical Curve Calculated?

    is there a formula to find the circumference of an ellipse?
  10. S

    How can I use integrals to find the circumference of an ellipse?

    I have two integrals to give the circumference of an ellipse. I can't solve either. First, using rectangular coordinates, 1/2s=S{[1+(f'(x))^2]^(1/2)}dx taken from x=-a to x=a Since, y^2=b/a(a^2-x^2) 2y*y'=-2bx/a y'=-bx/(ay) [f'(x)]^2=(x^2)/(a^2-x^2) At this point, I'm already...
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