circle a has a radius of 4.5 in and $m\angle cab = 3$ radians, what is the length of $\widehat{bc}$?

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Arc Length Formula" ], "current_concepts": [ "Arc Length Formula", "Radius of a Circle" ] } ## Identify the given values $$ \begin{aligned} r &= 4.5\text{ in} \ \theta &= 3\text{ radians} \end{aligned} $$ ## Apply the arc length formula $$ \begin{aligned} s &= r \cdot \theta \ s &= 4.5 \cdot 3 \ s &= 13.5\text{ in} \end{aligned} $$ $13.5\text{ in}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Geometry", "Arc Length Formula" ] }

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Explanation:

Identify the given values

Apply the arc length formula

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