10 1-3 Vocab And concepts Flashcards
Center
The point in the middle of where all points are equidistant in the circle
Radius
A segment connecting center to any point in the circle
Chord
Segment with both end points on circle
Diameter
Chord that goes through center of a circle
Radius formula
R=d/2 or 1/2d=r
Diameter formula
D=2r
Two circles are congruent if and only if…
Their radii are congruent
All circles are..
Similar
Concentric circles are…
Coplanar circles with the SAME CENTER
Central angle
Angle where vertex is center of circle
Arc
Portion of a circle defined by 2 end points
The sum of the measure of the central angles of a circle with NO INTERIOR points in common
360
Minor arc
Shortest arc connecting two end points on a circle; less than 180 and equal to measure of central angle
Major arc
Longest arc connecting two end points on a circle; more than 180 and equal to 360 minus the measure of the minor arc with the same endpoints
Semicircle
Arc with endpoints that lie on the diameter
Congruent arcs
Two arcs located on same/congruent circles or have same measure
In same/congruent circles, two arcs are congruent if and only if….
Their central angles are congruent
The measure of the arc formed by two adjacent arcs is
The sum of the measures of the two arcs
Arc length formula
l/2pir=x/360
In the same circle or in congruent circles two minor arcs are congruent if and only if
Their corresponding chords are congruent
Circle
Set of all points equidistant from the center
