SAT Math Formulas

Area of a Circle

A = πr²

Circumference of a Circle

C = 2πr

Area of a Rectangle

A = lw

Area of a Triangle

A = ½bh

Volume of a Rectangular Prism

V = lwh

Volume of a Cylinder

V = πr²h

Pythagorean Theorem

c² = a² + b²

30°-60°-90° Triangle Ratios

Short leg = x, Long leg = x√3, Hypotenuse = 2x

45°-45°-90° Triangle Ratios

Legs = s, Hypotenuse = s√2

Degrees in a Circle

360°

Sum of Angles in a Triangle

180°

SOHCAHTOA

Sin = Opposite/Hypotenuse, Cos = Adjacent/Hypotenuse, Tan = Opposite/Adjacent

Distance Formula

d = √[(x₂ − x₁)² + (y₂ − y₁)²]

Quadratic Formula

x = (-b ± √(b² − 4ac)) / (2a)

Circle Equation

(x − h)² + (y − k)² = r²

Center of a Circle

(h, k)

Slope Formula

m = (y₂ − y₁) / (x₂ − x₁)

Area of a Parallelogram

A = bh

Point-Slope Form

y − y₁ = m(x − x₁)

Vertex Form of a Quadratic

y = a(x − h)² + k

Vertex of a Quadratic

(h, k)

Density Formula

d = m / V

Compound Interest Formula

A = P(1 + r/n)^(nt)