what is the radius of this circle if the circumference is $18\pi\text{ cm}$?

$c = 18\pi\text{ cm}$

- 3 cm
- 9 cm
- 18 cm
- 36 cm

Question

what is the radius of this circle if the circumference is $18\pi\text{ cm}$?

$c = 18\pi\text{ cm}$

- 3 cm
- 9 cm
- 18 cm
- 36 cm

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Circumference of a Circle" ], "new_concepts": [], "current_concepts": [ "Circumference of a Circle" ] } ## State the circumference formula $$ C = 2\pi r $$ ## Substitute the given value and solve for r $$ \begin{aligned} 18\pi &= 2\pi r \ r &= \frac{18\pi}{2\pi} \ r &= 9 \end{aligned} $$

(A) $3\text{ cm}$

(B) $9\text{ cm}$

(C) $18\text{ cm}$

(D) $36\text{ cm}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Circumference of a Circle" ] }

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QUESTION IMAGE

Question

Explanation:

State the circumference formula

Substitute the given value and solve for r

Answer: