Chapter 10 Flashcards
102 arc length (degrees)
s = 2 pi r * angle measure/degrees
102 arc length (radians)
s = angle measure in rad * r
103 sector area (degrees)
A = angle measure/360 * pi r^2
103 sector area (rad)
A = (r^2 * angle measure in rad)/2
104 segment area (degrees)
A = angle/360 * pi r^2
- 1/2 * r^2 * sin(angle)
104 segment area (rad)
A = (angle * r^2)/2
- 1/2 * r^2 * sin(angle)
105 tangent to radius angle
if AB is a tangent to a circle at P, then AB is perpendicular to CP.
106 converse for tangent-radius angle
if B is T to radius CP at P, then AB is tangent to circle C.
107 segments tangent to a circle
if 2 segments with a common endpoint exterior to a circle are tangent to the circle, then the segments are congruent.