Pi in R Tutorial with Example

There are a few characters “constants” in R and Pi is one of the most used mathematics constants.

What is Pi in Mathematics

The pi, which is written as the Greek letter for p or π, is the ratio of the circumference of any circle to the diameter of that circle.

The circumference of a circle is equal to pi times the diameter (c = πd).

The pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666…).

Pi is an irrational number that’s crucial to many mathematical formulas.

Pi in R

Pi is an inbuilt R constant whose value is 3.141593. The pi constant is a ratio of the circumference of a circle to its diameter. When you define a pi, please note that p of pi is in lowercase.

Syntax

pi

Example

print(pi)

Output

[1] 3.141593

The value of the pi constant in R is 3.141593.

Calculate the exponential value of pi in R

To calculate the exponential value of pi in R, use the exp() function.

[1] 23.14069

Output

[1] 23.14069

Calculate the cos value of pi

To calculate the cosine value of pi in R, use the cos() function.

cos(pi)

Output

[1] -1

Find sine value of pi.

To find the sine value of pi in R, use the sin() function.

sin(pi)

Output

[1] 1.224647e-16

Find the tangent of pi in R

To calculate the tangent of pi in R, use the tan() function.

tan(pi)

Output

[1] -1.224647e-16

Compute the arccos value of pi

To calculate the arccos value of pi in R, use the acos() function.

acos(pi)

Output

[1] NaN
Warning message:
In acos(pi) : NaNs produced

It returns NaN value.

Compute the arcsin value of pi

To calculate the arccos value of pi in R, use the asin() function.

asin(pi)

Output

[1] NaN
Warning message:
In asin(pi) : NaNs produced

It returns NaN too.

Compute the arctan value of pi

To calculate the arccos value of pi in R, use the atan() function.

atan(pi)

Output

[1] 1.262627

sinpi() in R

The sinpi() function in R is used to compute the sine value of the input, which is the multiples of pi.

Syntax

sinpi(x)

Parameters

The sinpi() function takes x as a numeric value, array, or vector.

Example

sinpi(0.75)
sinpi(0.5)
sinpi(1)

Output

[1] 0.7071068
[1] 1
[1] 0

Example 2

sinpi(1 / 4)
sinpi(1 / 5)
sinpi(2 / 5)

Output

[1] 0.7071068
[1] 0.5877853
[1] 0.9510565

That is it for universal constant pi in R.