Geometry Formulas

Area of Rectangle

A = L × W

Area = Length × Width

Example 40 cm²

Perimeter of Rectangle

P = 2(L + W)

Perimeter = 2 × (Length + Width)

Example 26 cm

Area of Square

A = s²

Area = side × side

Example 36 cm²

Perimeter of Square

P = 4s

Perimeter = 4 × side

Example 24 cm

Area of Triangle

A = ½ × b × h

Area = ½ × base × height

Example 30 cm²

Area of Parallelogram

A = b × h

Area = base × height

Example 84 cm²

Area of Trapezoid

A = ½(a + b)h

Area = ½ × (a + b) × height

Example 50 cm²

Pythagorean Theorem

a² + b² = c²

leg² + leg² = hypotenuse²

Example c = 5

Volume of Cube

V = s³

Volume = side × side × side

Example 64 cm³

Volume of Cuboid / Box

V = L × W × H

Volume = Length × Width × Height

Example 30 cm³

Surface Area of Cube

SA = 6s²

Surface Area = 6 × side²

Example 54 cm²

Volume of Cylinder

V = πr²h

Volume = π × r² × height

Example ≈ 282.6 cm³

Volume of Sphere

V = ⁴⁄₃πr³

Volume = (4/3) × π × r³

Example ≈ 113.04 cm³

Volume of Cone

V = ⅓πr²h

Volume = (1/3) × π × r² × h

Example ≈ 84.78 cm³

Perimeter of Triangle

P = a + b + c

Perimeter = sum of all sides

Example 20

Area of Rhombus

A = ½ × d₁ × d₂

Area = ½ × diagonal₁ × diagonal₂

Example 40 cm²

Surface Area of Cylinder

SA = 2πr(h + r)

Total surface = 2πr × (height + radius)

Example ≈ 150.72

Surface Area of Sphere

SA = 4πr²

Surface Area = 4 × π × radius²

Example ≈ 314

Heron's Formula

A = √[s(s−a)(s−b)(s−c)]

s = (a+b+c)/2, then area from three sides

Example 6