which type of arc lies outside of the central angle and measures more than $180^\circ$?

a. minor arc
b. major arc
c. semicircle

Question

which type of arc lies outside of the central angle and measures more than $180^\circ$?

a. minor arc
b. major arc
c. semicircle

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Circle Definition" ], "new_concepts": [ "Major Arc", "Minor Arc", "Semicircle" ], "current_concepts": [ "Circle Definition", "Major Arc", "Minor Arc", "Semicircle" ] } ## Define arc types by measure $$ \begin{aligned} &\text{Minor arc: } \theta < 180^\circ \ &\text{Semicircle: } \theta = 180^\circ \ &\text{Major arc: } \theta > 180^\circ \end{aligned} $$ ## Match given condition $$ \theta > 180^\circ \implies \text{Major arc} $$

A. Minor arc

B. Major arc

C. Semicircle

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Circle Theorems" ] }

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QUESTION IMAGE

Question

Explanation:

Define arc types by measure

Match given condition

Answer: