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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Area of a Circle", "Circumference Formula", "Circle Formulas Relationship" ], "new_concepts": [], "current_concepts": [ "Area of a Circle", "Circumference Formula", "Circle Formulas Relationship" ] } ## Find the radius from the given area $$ \begin{aligned} A &= 400\pi \ \pi r^2 &= 400\pi \ r^2 &= 400 \ r &= 20 \end{aligned} $$ ## Calculate the circumference $$ \begin{aligned} C &= 2\pi r \ C &= 2\pi (20) \ C &= 40\pi \end{aligned} $$ ## Format the final answer $$ \text{Answer format: } 40\text{pi} $$ The area of a circle is $400\pi\text{ m}^2$. What is the circumference of the circle? Write your answers using 'pi' with no spaces. $C =$ 40pi m { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Circle Formulas Relationship" ] }

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Explanation:

Find the radius from the given area

Calculate the circumference

Format the final answer

Answer: