This tool will help you quickly find the value of pi to the desired decimal places.
How to Use the Pi Calculator
To use this calculator, input any one of the following values: radius, diameter, circumference, or area. The calculator will then compute the other values based on the input provided. Only one field is required to perform the calculations.
Note: Make sure to enter only one value for accurate results. If multiple values are entered, the calculator will prioritize radius first, then diameter, circumference, and finally area.
How the Calculations Work
- Radius to Diameter: Diameter = 2 * Radius
- Radius to Circumference: Circumference = 2 * π * Radius
- Radius to Area: Area = π * Radius^2
- Diameter to Radius: Radius = Diameter / 2
- Diameter to Circumference: Circumference = π * Diameter
- Diameter to Area: Area = π * (Diameter/2)^2
- Circumference to Radius: Radius = Circumference / (2 * π)
- Circumference to Diameter: Diameter = Circumference / π
- Circumference to Area: Area = π * (Circumference / (2 * π))^2
- Area to Radius: Radius = √(Area / π)
- Area to Diameter: Diameter = 2 * √(Area / π)
- Area to Circumference: Circumference = 2 * π * √(Area / π)
Limitations
This calculator assumes the accuracy of the value of π (pi) up to the precision provided by JavaScript’s Math.PI, which is accurate to about 15 decimal places. The calculator also assumes ideal mathematical conditions, which may not account for certain real-world variances.
Use Cases for This Calculator
Circumference of a Circle
When you need to find the circumference of a circle, you can use your pi calculator to simplify the task. Enter the radius of the circle and the calculator will quickly output the circumference using the formula C = 2πr.
Area of a Circle
Your pi calculator can also assist you in calculating the area of a circle efficiently. By inputting the radius, the tool will provide you with the area based on the formula A = πr², saving you time and effort.
Volume of a Cylinder
If you’re working with three-dimensional shapes, your pi calculator can help calculate the volume of a cylinder. Simply enter the radius and height, and the calculator will use the formula V = πr²h to give you the volume you need.
Volume of a Sphere
Calculating the volume of a sphere becomes effortless with your pi calculator. Just input the radius, and with the formula V = (4/3)πr³, you’ll quickly obtain the sphere’s volume, making your work simpler.
Surface Area of a Sphere
Need to determine the surface area of a sphere? Your pi calculator can calculate this too; from the radius you enter, it will apply the formula A = 4πr² to give you the surface area in no time.
Area of an Ellipse
Your pi calculator can also handle more complex shapes like an ellipse. By providing the lengths of the semi-major and semi-minor axes, the calculator will leverage the formula A = πab to reveal the area of the ellipse quickly and accurately.
Circular Sector Area
In cases where you require the area of a circular sector, your pi calculator can be extremely useful. Input the angle and the radius, and it will apply the formula A = (θ/360)πr² to compute the sector’s area efficiently.
Arc Length of a Circle
When working on problems that involve arc lengths, your pi calculator can streamline the process for you. Simply input the radius and the angle in degrees, and watch it use the formula L = (θ/360) × 2πr to provide you with the arc length you need.
Circular Ring Area
If you need to find the area of a circular ring, your pi calculator is the right tool. By entering the outer radius and inner radius, it will calculate the area using A = π(R² – r²), giving you the answer quickly.
Calculating Pi Approximation
Your pi calculator can even be used for educational purposes, such as approximating the value of pi. Enter various fractions or series, and watch it demonstrate how different methods converge toward this important constant, deepening your understanding of mathematics.