Geometry and Algebra Formulas

Flashcards covering essential geometry and algebra formulas.

What is the formula for the Arc Length in degrees?

s = (πe/180) * θ where θ is in degrees.

What is the Midpoint formula?

MP = ((x1 + x2)/2, (y1 + y2)/2).

What is the Standard Form of a Circle equation?

(x - h)² + (y - k)² = r².

What is the formula for the Perimeter of a Rectangle?

P = 2l + 2w.

How do you calculate the Area of a Rectangle?

A = l * w.

What does the Triangle Angle Sum Theorem state?

LA + LB + LC = 180°.

What is the Area of a Sector formula in degrees?

A = (θ/360) * πr².

What is the Pythagorean Theorem?

a² + b² = c².

What is the Quadratic Formula?

x = (-b ± √(b² - 4ac)) / 2a.

What is the Area of a Triangle formula?

A = (1/2) * base * height.

What is the formula for the volume of a cylinder?

V = πr²h.

What is the formula for Right Triangle Trigonometry?

sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = opposite/adjacent.

What is the Area of a Circle formula?

A = πr².

What is the formula for the Area of a Trapezoid?

A = (1/2)(b₁ + b₂)h.

What is the Slope-Intercept Form of a Line?

y = mx + b.

What is the Distance formula?

d = √((x2 - x1)² + (y2 - y1)²).

What is the formula for the volume of a cone?

V = (1/3)πr²h.

What is the Volume of a Pyramid formula?

V = (1/3) * base area * height.

What is the formula for the volume of a rectangular prism?

V = lwh.

What is the formula for the volume of a sphere?

V = (4/3)πr³.

What is the Point-Slope Form of a Line?

y - y₁ = m(x - x₁).

What is the Trigonometric Pythagorean Identity?

sin²(θ) + cos²(θ) = 1.

What is the Vertex Form of a Parabola?

y = a(x - h)² + k.

What is the Area of a Sector formula in radians?

A = (1/2)r²θ.

What is the formula for the Slope of a Line?

m = (y2 - y1) / (x2 - x1).