Honors Geometry Semester 2 Review (conics, circles)

circle equation

(x-h)²+(y-k)²=r²

horizantal elipse a=bigger number

(x-h)²/a²+(y-k)²/b²=1

vertical elipse a=bigger number

(x-h)²/b²+(y-k)²/a²=1

elipse foci

c²=a²-b²

horizantal hyperbola a=bigger number

x²/a²-y²/b²=1

vertical hyperbola a=bigger number

y²/a² - x²/b²=1

hyperbola foci

c²=a²+b²

vertical parabola

(x-h)²=4p(y+k)

horizantal parabola

(y-k)²=4p(x-h)

distance formula

√(x2-x1)² + (y2-y1)²

law of sin

sinA/sina=SinB/b=SinC/c

Law of Cos

c²=a²+b²-2abCosC

arc length

l=x*2πr/360

intersencting chords/secants

a*b=c*d

intersecting secants

a(a+b)=c(c+d)

intersecting tangent and secant

a²=b(b+c)

area of circle

πr²

circumfrence

2πr

area of sector

central angle/360 *πr²

(x - h)² + (y - k)² = r²

circle

x²/a² - y²/b² = 1

horizantal hyperbola

y²/a² - x²/b² = 1

vertical hyperbola

(x - h)² = 4p(y - k)

vertical parabola

(y - k)² = 4p(x - h)

horizantal parabola

(x - h)²/a² + (y - k)²/b² = 1

horizantal elipse

(x-h)²/b² + (y-k)²/a² = 1

vertical elipse

c²=a²-b²

elipse foci

c²=a²+b²

hyperbola foci

In the vertices if the y stays the same is it horizantal or vertical?

horizantal

In the vertices if the x stays the same is it horizantal or vertical?

vertical