question 3 of 10

both the red and blue line segments stretch from the center of the circle to a point on the circle. the length of the blue line segment is 7. how long is the red line segment?

a. 14
b. 3.5
c. 10.5
d. 7

Question

question 3 of 10

both the red and blue line segments stretch from the center of the circle to a point on the circle. the length of the blue line segment is 7. how long is the red line segment?

a. 14
b. 3.5
c. 10.5
d. 7

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Circle Definition" ], "new_concepts": [ "Circle Radius" ], "current_concepts": [ "Circle Definition", "Circle Radius" ] } ## Identify the geometric definitions of the segments $$ \begin{aligned} &\text{Blue segment: from center to a point on the circle} \implies \text{Radius } (r) \ &\text{Red segment: from center to a point on the circle} \implies \text{Radius } (r) \end{aligned} $$ ## Equate the lengths of the radii $$ \begin{aligned} &\text{Length of blue segment} = 7 \ &\text{Length of red segment} = \text{Length of blue segment} = 7 \end{aligned} $$

A. 14

B. 3.5

C. 10.5

D. 7

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

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QUESTION IMAGE

Question

Explanation:

Identify the geometric definitions of the segments

Equate the lengths of the radii

Answer: