shape area, volume, surface area, etc

Circle area

πr²

Circle circumference

2πr

Trapezium area

(a+b)/2 × h

Parallelogram area

base × height

Triangle area

1/2 × base × height

Cylinder volume

πr²h

Cylinder curved surface area

2πrh

Cylinder total surface area

2πr(r+h)

Cone volume

1/3 πr²h (h = vertical height)

Cone curved surface area

πrl (l = slant height)

Cone total surface area

πr² + πrl = πr(r+l)

Cone slant height

l = √(r² + h²)

Sphere volume

4/3 πr³

Sphere surface area

4πr²

Hemisphere volume

2/3 πr³

Hemisphere curved surface area

2πr²

Hemisphere total surface area (including base)

3πr²

Prism (general) volume

Area of cross-section × length

Pythagoras (hypotenuse)

c = √(a² + b²)

Pythagoras (shorter side)

a = √(c² − b²)

Right-angled triangle

a² + b² = c² (c = hypotenuse)