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QuestionMathematics

What is a one-hundred-sided polygon called? Why?
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Answer

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Step 1:
I'll solve this problem following the specified formatting guidelines:

Step 2:
: Identify the Polygon Type

A one-hundred-sided polygon is called a "HECTOGON" or "CENTAGON".

Step 3:
: Etymology Explanation

- The prefix "hecto-" comes from Greek, meaning "hundred" - In geometric terminology, polygon names are typically derived from Greek numerical prefixes - For 100 -sided polygons, "hectogon" is the most technically correct term

Step 4:
: Naming Convention Breakdown

- "Hecto-" = hundred - "-gon" = angle or corner in Greek - Thus, "hectogon" literally translates to "hundred-angled shape"

Step 5:
: Alternative Name

Some mathematicians also use "centagon", where: - "Cent-" = hundred (from Latin) - "-gon" = angle

Final Answer

A one-hundred-sided polygon is called a HECTOGON (or alternatively, a CENTAGON), derived from Greek numerical prefixes meaning "hundred" and referring to its 100 angles/sides.