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Tangent and Intersecting Chord formula
m∠ = 1/2 measure of corresponding arc

2 chords intersecting inside a circle formula
m∠ = 1/2 (corresponding arc + vertical angles corresponding arc

Angles outside of a circle formula (for 3 types)
m∠ = 1/2 (further arc - closer arc) (can also be formatted as bigger arc - smaller arc)

Circumscribed ∠'s an angle formed by 2 tangents formula
m∠ = 180 - opposite central angle

2 chords intersecting inside a circle (length) formula
Half of segment 1 ⋅ other half of segment 1 = Half of segment 2 ⋅ other half of segment 2

Secant lengths that intersect in a circle formula
outside piece of secant ⋅ whole piece = other outside piece ⋅ whole piece of the other

Finding length with secant and length formula
half of segment ⋅ other half of segment = tangent²

equation of a circle
(x-h)²+(y-k)²=r², (h, k) is the center, r is the radius.

Circumference of a circle
2πr or πd

Arc Length Formula
aL = arc measure/360 ⋅ circumference

Radian
360° = 2π radians
Converting Degrees into Radians
π/180

converting radians into degrees
180/π

Area of a circle formula
A=πr²

Area of a sector
arc measure/360 ⋅ πr²
