# CAREA

## Purpose:

Calculates the area of a closed loop series.

## Syntax:

CAREA(series)

series |
- |
Optional. A series. Defaults to the current
Window. |

## Alternate Syntax:

CAREA(xseries, yseries)

xseries |
- |
Optional. A series. Defaults to the X values
of the current Window. |

yseries |
- |
Optional. A series. Defaults to the Y values
of the current Window. |

## Returns:

A scalar, the closed loop area..

## Example:

W1: gsin(1000, 1/1000, 1)

W2: gcos(1000, 1/1000, 1)

W3: xy(w1, w2)

W4: {carea(w3)}

W3 contains a circular series with a radius of 1.0. W4 contains the
value 3.14593, the approximate value of π.

## Example:

W1: 3 * gsin(1000, 1/1000, 1)

W2: 3 * gcos(1000, 1/1000, 1)

W3: xy(w1, w2)

W4: {carea(w3)}

W3 contains a circular series with a radius of 3.0. W4 contains the
value 28.274334, the approximate value of 9π

## Example:

W1: 3 * gsin(1000, 1/1000, 1)

W2: 3 * gcos(1000, 1/1000, 1)

W3: {carea(w1, w2)}

Same as the previous example except the X and Y values are provided
as separate series.

## Remarks:

CAREA expects a closed loop curve and
automatically adds the closing point
if the starting point does not equal the ending point.

CAREA is based on AREA
and uses the modified Simpson rule to compute the absolute area.

See POLYAREA
to compute the area of a closed polygon.

## See Also:

AREA

CUMTRAPZ

INTEG

POLYAREA

TRAPZ