Geometry EOC Formulas and Conversions

Flashcards for B.E.S.T. Geometry EOC formulas and conversions.

Parallelogram Area

A = bh

Trapezoid Area

A = 1/2 * h(b₁ + b₂)

Circle Circumference

C = 2πr or C = πd

Circle Area

A = πr²

Regular Polygon Area

A = 1/2 * Pa

Prism/Cylinder Surface Area

SA = 2B + Ph

Prism/Cylinder Volume

V = Bh

Cone Surface Area

SA = B + πrl or SA = B + 1/2 * Pl

Cone Volume

V = 1/3 * Bh

Regular Pyramid Surface Area

SA = B + 1/2 * Pℓ or SA = B + 1/2 * P * h

Regular Pyramid Volume

V = 1/3 * Bh

Sphere Surface Area

SA = 4πr²

Sphere Volume

V = 4/3 * πr³

Rhombi & Kites Area

A = 1/2 * d₁ * d₂

Sector Area

A = (m° / 360) * πr²

Arc Length

Arc Length = (m° / 360) * 2πr

Equation of a Circle

(x − h)² + (y − k)² = r²

Distance Formula

d = √((x₂ − x₁)² + (y₂ − y₁)²)

Midpoint Formula

(x, y) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Slope Formula

m = (y₂ − y₁) / (x₂ − x₁)

Point-Slope Form

y − y₁ = m(x − x₁)

Slope-Intercept Form

y = mx + b

Partitioning Formula

(x, y) = (x₁ + h(x₂ − x₁), y₁ + h(y₂ − y₁))

sin(θ)

opposite / hypotenuse

cos(θ)

adjacent / hypotenuse

tan(θ)

opposite / adjacent

45°-45°-90° Triangle Sides

x, x, x√2

30°-60°-90° Triangle Sides

x, x√3, 2x

Pythagorean Theorem

a² + b² = c²

Polygon Interior Angle Sum

(n − 2) * 180

Rotation Rule 90° (Counterclockwise)

(x, y) → (−y, x)

Rotation Rule 180°

(x, y) → (−x, −y)

Rotation Rule 270°

(x, y) → (y, −x)

1 foot

12 inches

1 yard

3 feet

1 mile

5,280 feet

1 mile

1,760 yards

1 cup

8 fluid ounces

1 pint

2 cups

1 quart

2 pints

1 gallon

4 quarts

1 pound

16 ounces

1 ton

2,000 pounds

1 meter

100 centimeters

1 meter

1000 millimeters

1 kilometer

1000 meters

1 liter

1000 milliliters

1 gram

1000 milligrams

1 kilogram

1000 grams

1 minute

60 seconds

1 hour

60 minutes

1 day

24 hours

1 year

365 days

1 year

52 weeks

Radians to Degrees

Multiply by 180/π

Degrees to Radians

Multiply by π/180

Population Density (D)

number of people / area

Density (Mass) (D)

mass/volume

Weighted Average

(W1X1 + W2X2)/ (W1 + W2)