the area of a circle is $196\pi\text{ yd}^2$. what is the circumference of the circle? write your answer using \pi\ with no spaces.

$c =$ $\text{yd}$

Question

the area of a circle is $196\pi\text{ yd}^2$. what is the circumference of the circle? write your answer using \pi\ with no spaces.

$c =$   $\text{yd}$

Accepted Answer

{ "quality": "clear", "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" ], "new_concepts": [], "current_concepts": [ "Area of a Circle", "Circumference Formula" ] } ## Find the radius of the circle $$ \begin{aligned} A &= \pi r^2 \ 196\pi &= \pi r^2 \ r^2 &= 196 \ r &= 14 \end{aligned} $$ ## Calculate the circumference $$ \begin{aligned} C &= 2\pi r \ C &= 2\pi(14) \ C &= 28\pi \end{aligned} $$ The area of a circle is $196\pi\text{ yd}^2$. What is the circumference of the circle? Write your answer using "pi" with no spaces. $C =$ 28pi yd { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Circumference Formula" ] }

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Question

Explanation:

Find the radius of the circle

Calculate the circumference

Answer: