Why is pi used to find area and circumference of a circle?

In basic mathematics, pi is used to find the area and circumference of a circle. Pi is used to find area by multiplying the radius squared times pi. Because circles are naturally occurring in nature, and are often used in other mathematical equations, pi is all around us and is constantly being used.

Why do we use 3.14 to find the circumference of a circle?

Starts here1:59Finding circumference using 3.14 – YouTubeYouTubeStart of suggested clipEnd of suggested clip60 second suggested clipTimes 8 8 times 4 is 32 carry. The 3 8 times 1 is 8 9 10 11 carry the 1 8 times 3 is 24 plus 1 is 25MoreTimes 8 8 times 4 is 32 carry. The 3 8 times 1 is 8 9 10 11 carry the 1 8 times 3 is 24 plus 1 is 25. I have 2 decimal places so I move it over two spaces.

Why does the formula for the circumference of a circle work?

It sounds like you are aware of this, but just to clarify: the formulae 2πr and πd for the circumference of the circle are equivalent because the diameter is twice the radius. The former statement is often more useful simply because the radius of a circle is a property that we often refer to.

What is the difference between 22 7 and pi?

22/7 is a rational approximation to pi, just as 3.14 is. That is, both 22/7 and 3.14 are rational numbers (fraction and terminating decimal, respectively) that are close enough to the exact value of pi for elementary work. 22/7 is a rational number, namely 3.1428571428571428571428571428571…

How is pi an irrational number when it can be expressed as 22 7?

22/7 is a rational number. All rational numbers can be expressed as a fraction whose denominator is non zero. Whereas, pi cannot be expressed in the fraction of two integers and has no accurate decimal value, so pi is an irrational number.

How is pi used in finding the circumference of a circle?

C = π* D = π D For any circle, its circumference ratio to its diameter is equal to a constant known as pi. For the easier computation of a circle’s circumference, pi’s value is taken to be 3.14 (π = 3.14).

How do you find circumference using pi?

How to find the circumference of a circle?

1. Multiply the radius by 2 to get the diameter.
2. Multiply the result by π, or 3.14 for an estimation.
3. That’s it; you found the circumference of the circle.

What is 22/7 equal to in Pi?

22/7 is, for many purposes, close enough to pi – but not actually pi. pi is 3.14159265359 (which then keeps on going and going, but without repeating itself) 22/7 is 3.14285714286 (which also keeps going, but just repeating itself) Even three digits after the decimal point, they’re no longer the same.

Is Pie = 22/7 in area of circle?

The formula for area of circle comes from integration which involves summation of all the perimeters of inner circle. And therefore, its formula also contains pie. NOW, question comes in mind, is pie = 22/7???? And the answer is NO. Pie is an irrational number and 22/7 is a rational number.

How do you find the area of a circle?

The area of a circle is equal to Pi π π times the radius r r squared. Substitute in the value of the radius r = 22 7 r = 22 7 into the formula for the area of a circle. Pi π π is approximately equal to 3.14 3.14. Simplify the expression. Tap for more steps…

What is a good approximation of Pi?

According to Archimedes approximation of Pi, 223⁄71 < π <  22⁄7 and 3.14 would be a good approximation of Pi for all practical purposes. If you were a Numberphile fan like me, you would know that there are even better approximations than 22/7. For instance, π ≈ 62832/20000 is a correct up to 5 decimal places. In fact a whole