Q. What is the value of Pi in Math?

Ans. The value of pi (π) = (rac{Circumference}{Diameter} = 3.14159…)

Q. What is the value of Pi in fractions?

Ans. The value of Pi in the fraction is 22/7.

Q. What is the symbol of Pi?

Ans. The Pi is denoted by the symbol "π" in Mathematics.

Exams Academic Value of Pi in Maths: Fraction, Decimal, and Trigonometry

Written By Vaibhav_Raj_Asthana
Last Modified 25-01-2023

Value of Pi in Maths: Fraction, Decimal, and Trigonometry

Q: Q. What is Pi and how did it originate?

Ans. As per Petr Beckmann's "A History of Pi", π was first used by William Jones in 1706, probably as an abbreviation of the periphery.

Q: Q. What is the exact value of Pi and why?

Ans. Pi is an irrational number as per the property of irrational numbers their value after decimal places can not be defined as it never ends. For ease of use 3.14 and 22/7 are used.

Q: Q. What is the Value of Pi in degree?

Ans. The value of Pi in Trigonometry or degree is 180°.

Value of Pi: Pi is the ratio of the circumference of a circle to its diameter. It is named after the Greek mathematician Archimedes. He devised a method for calculating the Pi value. That is why Pi is often referred to as the Archimedes’ constant. The Pie value in decimal is 3.1415929. Furthermore, the value of Pi in fraction is 22/7. It has an infinite number of digits beyond the decimal point. Thus, it is an irrational number.

Pi is denoted as the Greek letter ‘π’. It is used in geometry to calculate the surface area, volume, and circumference of various three-dimensional forms. It is also used to compute the area and circumference of a circle. Furthermore, Pi is utilised in almost all calculations, including construction, quantum physics, communications, music theory, medical treatments, air transport, space flight, etc.

Value of Pi in Fraction and Decimal

Pi is used to solve various questions in Physics, Chemistry, Mathematics, and Biology. Hence, using the longer form of Pi may lead to difficulty in the calculation, because the longer form of Pi is 3.141592653589793238… Therefore, two notations for using the value of Pi (π) in Maths are used that ease the calculation as well as help in framing the questions.

The two values of Pi are:

Value of Pi in Fraction – 22/7
Pi Value in Decimal – 3.14

Note:

Pi is a mathematical constant that represents the ratio of a circle’s circumference to its diameter. It is an irrational number that is commonly rounded up to 3.14159.
We use the Pie value as 22/7 or 3.14 based on the problem for convenience during the calculation.

What is the Value of Pi in Fraction?

Pi is an irrational number, and being an irrational number, the numbers after the decimal point are never-ending. Therefore, for implication purposes, the fraction value was defined to make the calculations easy, and solve the numerical problems where Pi is involved.

Pi Value in Fraction = \(\frac{22}{7}\)

What is Pi in Decimals?

Check out the π value in decimal notation up to 100 decimal places below:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.

What is the Value of Pi in Trigonometry?

In Trigonometry, the value of Pi in degree is 180 degrees. We use π in degrees to represent the angle in radians.

For example, if we are calculating the value of Sin π, it is equal to Sin 180 = 0.

How to Calculate Pi Value Yourself?

Those who want to calculate the value of Pi in Maths will need a compass or a round plate or any circular object, such as a plastic or steel ruler, an inch tape, or something similar for measurement. Thereafter, follow the steps mentioned below:

1st Step: Using a compass draw a circle on a blank paper, or put the object on the ground, and measure around the edges, i.e., its circumference. Note its value as C= 82 cm, for an example.
2nd Step: Now, measure the diameter of the circle, for paper, draw the circle using a regular plastic/steel scale, and for the object, use the tape. Diameter (D) = 26 cm for the example taken.
3rd Step: Now, use the formula: Circumference (C) = Pi (π) x Diameter (D).

So, π = C/D = 82/26 = 3.14159…..

Questions on Pi in Maths

Students generally have a lot of doubt related to Pi as it is a completely new entity that is introduced to them. These questions will help them get a clear idea about Pi and its usage. Please check out the questions given below:

1. Find the area of a circle with a radius of 5 cm?

2. How is Pi defined?

3. Pi is best described as what type of number?
a) an irregular fraction
b) a rational number
c) an irrational number
d) an integer

4. Pi rounded to 9 decimals is:
i) 3.141952654
ii) 3.142952654
iii) 3.142592654
iv) 3.141592654

5. Which of these fractions is closest to Pi?
a) 5 over 3
b) 21 over 8
c) 22 over 7
d) 45 over 16

FAQs on the Value of Pi

Q.1: What is Pi and how did it originate?
Ans: As per Petr Beckmann’s ‘A History of Pi’, π was first used by William Jones in 1706, probably as an abbreviation of the periphery.

Q.2: What is the exact value of Pi and why?
Ans: Pi is an irrational number as per the property of irrational numbers their value after decimal places can not be defined as it never ends. For ease of use 3.14 and 22/7 are used.

Q.3: What is the value of Pi in Math?
Ans: The value of Pi (π) = (\frac{Circumference}{Diameter} = 3.14159…)

Q.4: What is the value of Pi in fractions?
Ans: The value of Pi as a fraction is 22/7.

Q.5: What is the symbol of Pi?
Ans: Pi is denoted by the symbol ‘π’ in Mathematics.

Q.6: What is the value of Pi in degree?
Ans: The value of Pi in Trigonometry or degree is 180°.