Pi calculator with steps

Times Pi calculator

Pi Formula

The symbol of Pi (pronounced as pie) is denoted by (π). This symbol is the 16th letter of Greek alphabet. In mathematics, the Pi value (π) is the circumference ratio of a circle to the diameter and it’s equal to 3.14159, this is the exact decimal since the digits go on forever. When you divide the total distance around the circle (Circumference) by the diameter, the answer will be exactly the same number. In addition to that, the Pi value is the same on either a big or small circle. Let’s explore more about the mathematical constant.

What is the Pi formula?

Pi formula is expressed as:

Pi (π) formula = (Circumference/Diameter)

Pi is an irrational number, this means that goes on without a repeating pattern to the digits. For this reason, it cannot be expressed in form of common fraction. However, fractions like 22/7 are often used to approximate Pi. The Pi value is a non-terminating non repeating formula.

Formulas with Pi

Here are some of the formulas in mathematics that have Pi:

        Area of a circle (πr²)

        Perimeter of a circle (πd)

        Volume of a sphere (4/3 πr3)

        Surface area of a sphere (4 π r2)

Solved examples of Pi formula

Example 1: Calculate the area of a circle whose radius is 28cm


Formula = πr²

22/7 × 28²

22/7 × 784

22/7 × 784/1


= 784cm²

Example 2: Calculate the perimeter of a circle whose diameter is 84m


Formula = π × d

22/7 × 84 = 264



Times Pi video tutorial

Other solved examples

What is π × 30?

What is π × 1041?

What is π × 90?

What is π × 3030?

What is π × 6050?

Interesting facts about Pi

        In 1706, William Jones introduced the symbol for Pi

        The first attempt to calculate Pi was done by Rhind Papyrus. He created a square in a circle to calculate its diameter.

        Pi day is on 14th March. Therefore, this date is represented numerically by 3/14.

        The first 36 digits of Pi formula are called Ludolphine number. The numbers were named after Rudolph Van Ceuoen, he spent most of his life calculating the first 36 digits.

        The first 31 numbers of Pi have no zero.

        Some mathematicians argue circles have infinite corners not zero corners.

Frequently Asked Questions

1. What is the exact value of Pi?

Generally, the value of Pi is represented as 3.14 or 22/7. That said, the mathematical concept is an irrational number hence has no exact value.

2. What is the value of Pi in decimal?

The first hundred decimal places of Pi value are:

3.14159 26535 89793 23846 26433 83379 50288 41971 69339 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067

3. What is the origin of Pi?

The first person to calculate Pi value was Archimedes of Syracuse. In 1737, the Pi symbol was popularized by Leonhard Euler.

4. What is the formula for Pi when given Circumference and Diameter?

The Pi formula is: Pi (_) = (Circumference/Diameter)