circle o has a circumference of approximately 28.3 cm. what is the approximate length of the radius, r?

4.5 cm
9.0 cm
14.2 cm
28.3 cm

Question

circle o has a circumference of approximately 28.3 cm. what is the approximate length of the radius, r?

4.5 cm
9.0 cm
14.2 cm
28.3 cm

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Circumference Formula" ], "current_concepts": [ "Circumference Formula", "Circle Geometry" ] } ## Relate circumference to radius $$ C = 2\pi r $$ ## Solve for radius $$ \begin{aligned} 28.3 &= 2\pi r \ r &= \frac{28.3}{2\pi} \ r &\approx \frac{28.3}{6.28318} \ r &\approx 4.501 \text{ cm} \end{aligned} $$

(A) 4.5 cm

(B) 9.0 cm

(C) 14.2 cm

(D) 28.3 cm

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Circumference Formula" ] }

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Question

Explanation:

Relate circumference to radius

Solve for radius

Answer: