find the circumference and the area of a circle with radius $6\text{ m}$.

use the value $3.14$ for $\pi$, and do not round your answers. be sure to include the correct units in your answers.

circumference:
area:

Question

find the circumference and the area of a circle with radius $6\text{ m}$.

use the value $3.14$ for $\pi$, and do not round your answers. be sure to include the correct units in your answers.

circumference:
area:

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Circle Area", "Circle Circumference" ], "new_concepts": [], "current_concepts": [ "Circle Area", "Circle Circumference" ] } ## Calculate the circumference $$ \begin{aligned} C &= 2\pi r \ C &= 2 \times 3.14 \times 6\text{ m} \ C &= 37.68\text{ m} \end{aligned} $$ ## Calculate the area $$ \begin{aligned} A &= \pi r^2 \ A &= 3.14 \times (6\text{ m})^2 \ A &= 3.14 \times 36\text{ m}^2 \ A &= 113.04\text{ m}^2 \end{aligned} $$ Circumference: 37.68 m Area: 113.04 $\text{m}^2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Circle Area and Circumference" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the circumference

Calculate the area

Answer: