This tool can be used to calculate the related circumscribing circle (Mcgarigal et al. 2002) for vector polygon features. The related circumscribing circle values calculated for each vector polygon feature will be placed in the accompanying attribute table as a new field (RC_CIRCLE).

Related circumscribing circle (RCC) is defined as:

> RCC = 1 - A / Ac

Where `A` is the polygon's area and `Ac` the area of the smallest circumscribing circle.

Theoretically, related_circumscribing_circle ranges from 0 to 1, where a value of 0 indicates a circular polygon and a value of 1 indicates a highly elongated shape. The circumscribing circle provides a measure of polygon elongation. Unlike the elongation_ratio, however, it does not provide a measure of polygon direction in addition to overall elongation. Like the elongation_ratio and linearity_index, related_circumscribing_circle is not an adequate measure of overall polygon narrowness, because a highly sinuous but narrow patch will have a low related circumscribing circle index owing to the compact nature of these polygon.

Note: Holes are excluded from the area calculation of polygons.

## Function Signature

`def related_circumscribing_circle(self, input: Vector) -> Vector: ...`

## Project Links

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