Advanced Mathematical Calculator

Perform various mathematical calculations with advanced features

Calculation Mode

Principal Amount ($)

Annual Interest Rate (%)

Time Period (Years)

Compounding Frequency

Result:

$1,647.01

Select Shape

Radius

Base

Height

Side A

Side B

Side C

Result:

Area: 78.54 units²

Enter Data (comma separated)

Result:

Mean: 9.43

Rows

Columns

Matrix A

Matrix B

Result:

[[6, 8], [10, 12]]

Conversion Type

Value

From

Result:

1 meter = 39.3701 inches

Calculation History

5 + 7 = 12

sin(45) = 0.8509

Area of circle (r=5) = 78.54

Mathematical Constants

π (Pi)

3.141592653589793

Ratio of a circle’s circumference to its diameter

e (Euler’s Number)

2.718281828459045

Base of the natural logarithm

φ (Golden Ratio)

1.618033988749895

(1 + √5) / 2, appears in nature and art

√2 (Square Root of 2)

1.4142135623730950

Length of the diagonal of a unit square

√3 (Square Root of 3)

1.7320508075688772

Length of the space diagonal of a unit cube

γ (Euler-Mascheroni)

0.5772156649015329

Difference between harmonic series and natural logarithm

Common Mathematical Formulas

Quadratic Formula

x = [-b ± √(b² – 4ac)] / 2a

Solutions to ax² + bx + c = 0

Pythagorean Theorem

a² + b² = c²

For right triangles, where c is the hypotenuse

Area of Circle

A = πr²

Where r is the radius

Compound Interest

A = P(1 + r/n)^(nt)

Where A is final amount, P is principal, r is interest rate, n is compounding frequency, t is time

Distance Formula

d = √[(x₂ – x₁)² + (y₂ – y₁)²]

Distance between two points in a plane

Law of Cosines

c² = a² + b² – 2ab cos(C)

For any triangle with sides a, b, c and angle C opposite side c

Quadratic Surface Area

A = 4πr²

Surface area of a sphere with radius r

Volume of Cylinder

V = πr²h

Volume of a cylinder with radius r and height h

Unit Conversion Reference

Length Conversions

1 meter = 3.28084 feet
1 foot = 0.3048 meters
1 kilometer = 0.621371 miles
1 mile = 1.60934 kilometers
1 inch = 2.54 centimeters
1 centimeter = 0.393701 inches

Area Conversions

1 square meter = 10.7639 square feet
1 square foot = 0.092903 square meters
1 hectare = 2.47105 acres
1 acre = 0.404686 hectares

Volume Conversions

1 liter = 0.264172 gallons
1 gallon = 3.78541 liters
1 cubic meter = 264.172 gallons
1 cubic foot = 7.48052 gallons

Weight/Mass Conversions

1 kilogram = 2.20462 pounds
1 pound = 0.453592 kilograms
1 ounce = 28.3495 grams
1 gram = 0.035274 ounces

Temperature Conversions

°C to °F: F = (C × 9/5) + 32
°F to °C: C = (F – 32) × 5/9
°C to K: K = C + 273.15
K to °C: C = K – 273.15