formula chart
DESCRIPTION
Fourmula Chart for eocTRANSCRIPT
State of Texas Assessments of
Academic Readiness
STAARTM
VOLUME
SURFACE AREA
AREA
Triangle A h= 12
b
Rectangle or parallelogram A bh=
Rhombus A d d=2 1 2
Trapezoid A b+12 1 2
( )b= h
Regular polygon A aP= 12
Circle A r= π 2
Prism S Ph= S Ph B= +2
Pyramid S P B= +l12
S P= l12
Cylinder S rh r= +2 2 2π πS rh= 2π
Cone S r= π l S r r= +π πl 2
Sphere S r= 4 2π
Prism or cylinder V Bh=
Pyramid or cone V Bh= 13
Sphere V r= 3π4
Circle orC r= 2π C d= π
STAAR GEOMETRYREFERENCE MATERIALS
CIRCUMFERENCE
Lateral
3
Total
1
Pythagorean theorem a b c2 2 2+ =
A C
BTrigonometric ratios
A = opposite leghypotenuse
sin
A = adjacent leghypotenuse
cos
A = opposite legadjacent leg
tan
Midpointx x y y
1 2 1 2
2 2
+ +,
Distance formula d x x y y= − + −( ) ( )2 1
22 1
2
Slope of a line my y
x x=
−
−2 1
2 1
Slope-intercept form of a linear equation y mx b= +
Point-slope form of a linear equation y y m x x− = −1 1
( )
Standard form of a linear equation Ax By=C+
STAAR GEOMETRYREFERENCE MATERIALS
30°
2xx
60°
x 3
30° – 60° – 90° triangle
x
x
45°
45°
x 2
45° – 45° – 90° triangle
COORDINATE GEOMETRY
RIGHT TRIANGLES
( )