what is the length of the radius?

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Intersecting Chords Theorem" ], "new_concepts": [], "current_concepts": [ "Intersecting Chords Theorem", "Diameter Measurement" ] } ## Apply the Intersecting Chords Theorem $$ \begin{aligned} x \cdot 8.9 &= 14.9 \cdot 7.9 \ 8.9x &= 117.71 \ x &= \frac{117.71}{8.9} \approx 13.2258 \end{aligned} $$ ## Calculate the diameter of the circle $$ \begin{aligned} d &= x + 8.9 \ d &\approx 13.2258 + 8.9 = 22.1258 \end{aligned} $$ ## Calculate the radius of the circle $$ \begin{aligned} r &= \frac{d}{2} \ r &\approx \frac{22.1258}{2} \approx 11.1 \end{aligned} $$ What is the length of the radius? 11.1 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Intersecting Chords Theorem" ] }

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Question

Explanation:

Apply the Intersecting Chords Theorem

Calculate the diameter of the circle

Calculate the radius of the circle

Answer: