Went over homework, reviewed topics from last week, then learned about arc length using degrees (use proportions with 360° and 2πr for circumference) and radians (arc length = radius x angle).
Notes from board
Homework
#13-16 on old handout from last week (blank copy)
#1-22 (skip #13-18) on new handout (blank copy)
ANSWERS TO ALL OF THESE
worked out solutions to selected problems: LINK
Test is Thursday/Friday
Resources
inscribed angle vs arc; link
inscribed angles sharing same arc: link
intersecting chords theorem: link
using the intersecting chords lengths theorem: link [made by me!]
chords arcs and angles: link
exact arc length in degrees: link
exact arc length in radians: link
why the circle equation is what it is: link
circle equation and how it works: link
circles centered at the origin: link
given center and radius, write equation: link
writing circle equation using endpoints of diameter: link
Took assessment. Learned about sector area in degrees and radians, the fact a radius is perpendicular to a tangent (here is the proof) and how this leads to theorems about angles and arcs related to tangent and secant lines.
Notes from board
Homework
#1-8 on this handout
numerical answers to hw
Resources
Sector area, degrees (starts at 2:55): link
Sector area, radians (starts at 3:30): link
Using radius/tangent perpendicular: link
tangent-tangent angle and arcs: link
MANY great examples related to arcs and angles: link
more examples of arcs and angles: link