# Documentation/Calc Functions/SQRTPI

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SQRTPI

Mathematical

## Summary:

Returns the square root of (PI times a number).

SQRTPI(Number)

## Returns:

Returns a real non-negative number which is the positive square root of (PI multiplied by Number). The resultant value is between 0 and ∞, i.e. [0,∞).

## Arguments:

Number is a non-negative real number,or a reference to a cell containing that number by which pi is multiplied, further calculating the positive root.

If the Number is negative, the function returns an error value.

• This is equivalent to SQRT(PI()*Number) where PI() is a mathematical function whose value is nearly 3.141592653589793238
• The GIF below illustrates the SQRTPI function.
SQRTPI function

## Examples:

Formula Description Returns
=SQRTPI(2) positive square root of 2*PI or 2*π 2.506628274631
=SQRTPI(-2) positive square root is not defined for negative number so the function returns an error value Err:502

POWER

SQRT

PI

IMSQRT

## ODF standard:

Section 6.16.59, part 2

SQRTPI