Helpful Formulas

πd - Circumference of a Circle

πr squared - Area of a Circle

1/2 x base x height - Area of a Triangle

a squared + b squared = c squared - Pythagorean Theorem or Area of a Right Triangle

√s(s -a)(s - b)(s - c) - Heron's Formula or Area of a Right Triangle

1/2 x leg1 x leg2 - Area of a Right Triangle

side x side - Area of a Square

1/2 x diagonal 1 x diagonal 2 - Area of a Rhombus

length x width - Area of a Rectangle

base x height - Area of a Parallelogram

1/2 x height x sum of bases - Area of a Trapezoid

1/2 x perimeter x apothem - Area of a Regular Polygon

θr squared/2 - Area of a Sector

a x b x π - Area of an Ellipse

2π x radius x width - Area of a Circular Ring

side x side x side - Volume of a Cube

length x width x height - Volume of a Rectangular Prism

1/2 x width x height x length - Volume of a Right Triangular Prism

πr cubed x 4/3 - Volume of a Sphere

area of endface x height - Volume of a Cylinder

πr squared/3 x height - Volume of a Right Circular Cone

V + F - 2 = E - Euler's Formula

side squared x 6 - Surface Area of a Cube

πr squared x 4 - Surface Area of a Sphere

πr squared + πrl - Surface Area of a Right Circular Cone

2πr squared + 2πr x height - Surface Area of a Right Circular Cylinder

πrl - Lateral Surface Area of a Right Circular Cone

perimeter of base x height - Lateral Surface Area of Any Right Solid

side x 3 - Perimeter of a Triangle

side x 4 - Perimeter of a Square

2l + 2w - Perimeter of a Rectangle

AX + BY + C = 0 - General Coordinate Formula

x = a - Equation of a Vertical Line

x = b - Equation of a Horizontal Line

y = mx + b - Slope Intercept Form of an Equation

y - y1 = m(x - x1) - Slope - Point Form of an Equation

y2 - y1/ x2 - x1 = m - Slope Formula

side 1 < side 2 + side 3 - Triangle Inequality

arc length / circumference = arc measure / 360 degrees - Arc Length Proportion

1/2 x intercepted arc - Inscribed Angle Theorem