Chapter 10 Flashcards
Two secant or chords intersect inside the circle
M /_ 1= 1/2(mAB + mCD)
Arc Length
Central angle
____________ X diameter (2rpi)
360
If two secants, a secant and a tangent, or two tangents intersect outside the circle
m/_ A= 1/2( m DE- m BC)
If a secant and a tangent interest on the circle
m /_ 1= 1/2• m AB
If two chord intersect in a circle, then the products of the length of the chord segments are equal
AB•BC=DB•BE
If two secants intersect in the exterior of the circle then the product of one secant segment and its external secant segment is equal to the product of the measures of the other secant and its external secant segment
AC•AB=AE•AD
If the tangent and a secant intersect in the exterior of a circle then the square of the measure if the tangent is equal to the product of the measures if the secant and its external segment
JK^2= JL•JM
Completing a square
Find one half of b
Square the result in step one
Add the result of step two to x^2+bx
Find the equation of the circle given three points
Put all three coordinates into the circle formula in the x and y spots
Do a system of equations to find the h and then the k.
Find the r by doing the distance formula from the center to one of the points
Distances formula
Radical ([x2]-[x1])^2 + ([y2]-[y1])^2
Quadratic formula
-b +/- radical b^2 - 4ac
_____________________
2a