SAT MATH

SAT Math Formulas

Area of a Circle

Area of a Circle

A = πr²

SOHCAHTOA

Sin = Op/Hyp

Cos = Adj/Hyp

Tan = Op/Adj

Pythagorean Theorem

a² + b² + c²

One Full Circle

2π radians

30-60-90 Triangle

x : x√3 : 2x

45-45-90 Triangle

x : x : x√2

What does similar mean for triangles?

Two shapes are similar if their corresponding angles are equal to their corresponding and are proportional.

Diameter

2r

Circumference

2πr

Area

πr²

Area of a Sector equation

θ/360 x πr²

Equation for Arc Length

θ/360 × 2πr

Degrees → Radians

π radians/180

Radians → Degrees

180/π radians

Surface Area of a Rectangular Prism

2lw + 2lh + 2hw

Surface Area of a Cube

6s²

Surface Area of a Cylinder

2πr²+ 2πrh

Volume of a Cube

V = s³

Volume of a Cylinder

V = πr²h

Mean

Average of a set of numbers

Median

Middle term of the set (when ordered from least to greatest)

Mode

Most common number in a set

Range

Difference between the least and greatest number in a set

Slope Equation

(y2-y1)

/

(x2-x1)

Slope Intercept Form

y = mx + b

Point Slope Formula

y - y1 = m(x - x1)

Parallel lines have the same ___?

Slope

Perpendicular slopes are ____?

Negative reciprocals