Question 2949: Diameter Length for a Nonnegative Radius

Original question and givens

Use one equal-unit orthonormal Euclidean Cartesian frame. The circle radius is r=23≥0. Find its diameter length.

• G001 — Use one equal-unit orthonormal Euclidean Cartesian frame. The circle radius is r=23≥0. Find its diameter length.

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-circle

Step-by-step derivation

orthonormal equal-length units;r=23≥0

C={P:distance(P,O)=r} is a boundary,not a filled disk

diameter length := sum(23, 23)

diameter length = 46

radius=23

diameter=46

Reverse checks

• S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S002 · premise_and_result_audit — Recompute diameter length with exact rational arithmetic, not rounded decimals.
• S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.

Result

46

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.