math ch10 rules
dana alkadhi 10c
10.6
10.3
10.1
radius
10.2
sum of central angles
if a diameter/radius of a circle is perpendicular to a chord, then it bisects the chord & its arc
10.4
secant
10.5
in the same circle/congruent circles, 2 chords are congruent only if they are equidistant fro the center
segment w/endpoints at the center & on the circle
chord
segment w/endpoints on the circle
diameter
chord that passes through the center & is made up of collinear radii
r=d/2
d=2r
2 circle are congruent only if they have congruent radii
all circle are similar
centric circles
coplanar circles that have the same center
sum of the measure of the central angles of a circle with no interior points in common is 360
minor arc
<180
major arc
180
semicircle
=180
arc length
l=x/360 x 2 x 3.14 x r
perpendicular bisector of a chord is a diameter/ radius of a circle
inscribed angle
vertex on a circle & its sides contain chords of the circle
intercepted arc
endpoints on the sides of an inscribed angle & lies in its interior
tangent
line in the same plane as a circle that intersects the circle in exactly 1 point
point of tangency
common tangent
line/ray/segment that's tangent to 2 circles in the same plane
line that intersects a circle in exactly 2 point
10.8
10.7
secant segment
segment of a secant line that has exactly one endpoint on the circle
external secant segment
secant segment that lies in the exterior of the circle