SAT GEO TERMS

Area of a triangle

(1/2) × base × height

Area of an equilateral triangle

(s²√3)/4

Height of an equilateral triangle

(s√3)/2

Pythagorean Theorem

a² + b² = c²

Special Right Triangle Ratios (30°-60°-90°)

x, x√3, 2x

Special Right Triangle Ratios (45°-45°-90°)

x, x, x√2

Area of a parallelogram

base × height

Perimeter of a parallelogram

2 × (base + side)

Area of a rectangle

length × width

Perimeter of a rectangle

2 × (length + width)

Diagonal of a rectangle

√(l² + w²)

Area of a square

s²

Perimeter of a square

4s

Diagonal of a square

s√2

Area of a trapezoid

(1/2) × (base₁ + base₂) × height

Number of diagonals in an n-gon

n(n - 3)/2

Sum of interior angles in an n-gon

(n - 2) × 180°

Each interior angle in a regular polygon

[(n - 2) × 180°] / n

Each exterior angle in a regular polygon

360° / n

Circumference of a circle

2πr

Area of a circle

πr²

Arc length (in radians)

θ × r

Arc length (in degrees)

(θ/360°) × 2πr

Area of a sector

(θ/360°) × πr²

Inscribed angle formula

Inscribed angle = 1/2 × intercepted arc

Standard form of a circle

(x - h)² + (y - k)² = r²

Surface area of a cube

6s²

Volume of a cube

s³

Diagonal of a cube

s√3

Surface area of a right rectangular prism

2lw + 2lh + 2wh

Volume of a right rectangular prism

l × w × h

Surface area of a sphere

4πr²

Volume of a sphere

(4/3)πr³

Lateral surface area of a cylinder

2πrh

Total surface area of a cylinder

2πr² + 2πrh

Volume of a cylinder

πr²h

Volume of a right rectangular pyramid

(1/3) × l × w × h