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urp:circles [2021-10-17]
nerf_herder
urp:circles [2021-11-19]
nerf_herder
Line 4: Line 4:
   * __secant__ is a line that contains a chord, but extends beyond the circle   * __secant__ is a line that contains a chord, but extends beyond the circle
   * __tangent__ is a line that touches a circle at one point (a secant with chord length of zero)   * __tangent__ is a line that touches a circle at one point (a secant with chord length of zero)
-  * __Intercepted arc__ is the part of the circle contained within the two lines, it has 1/2 the degrees of the intercepted arc+  * __Intercepted arc__ is the part of the circle contained within the two lines
   * __Central angle__ is angle of two lines from the center of the circle, it has the same degrees as the intercepted arc   * __Central angle__ is angle of two lines from the center of the circle, it has the same degrees as the intercepted arc
-  * __Inscribed/​Interior angle__ has two points and the vertex all on the circle itself+  * __Inscribed/​Interior angle__ has two points and the vertex all on the circle itself, it has 1/2 the degrees of the intercepted arc
  
 In the image, P is center point of the circle, line C is a chord and line S is a secant. In the image, P is center point of the circle, line C is a chord and line S is a secant.
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                       so a = (rad/​2π)*(πr²)                       so a = (rad/​2π)*(πr²)
  
 +**length of arc**, given length of chord and radius:
 +  d = 2*r*sin(a/​2r) ​
 +     a = length of arc, d = length of chord, r = radius
 +     
 +**circumcircle** - a circle that touches the vertices of an polygon
 +   ​circumcircle of a triangle - has the center at the point where the
 +      perpendicular bisectors of the triangle'​s sides meet. 
 +      (might be outside the triangle).
 +   
 +-------
 Back to [[geometry]] or [[math]] page. Back to [[geometry]] or [[math]] page.
urp/circles.txt · Last modified: 2021-11-19 by nerf_herder