A field goal is worth 6 points when:
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A touchdown without extra point is 6 points, a regular feild goal is 3 points, and a safety is worth 2
Its 6 points because a feild goal is half of what the actually touchdown is. (3)
As the inventors of Australian Rules Football were cricketers they made a goal worth 6 points, the same as the maximum that can be scored in a cricket shot, 6 runs, excluding over throws.