to the nearest hundredth, what is the circumference of a circle with a radius of 5 units?

a. 15.70 units
b. 31.42 units
c. 78.54 units
d. 27.63 units

Question

to the nearest hundredth, what is the circumference of a circle with a radius of 5 units?

a. 15.70 units
b. 31.42 units
c. 78.54 units
d. 27.63 units

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Radius of Circle", "Circumference Definition" ], "new_concepts": [], "current_concepts": [ "Radius of Circle", "Circumference Definition" ] } ## Identify the given values and formula $$ \begin{aligned} r &= 5 \ C &= 2\pi r \end{aligned} $$ ## Calculate the circumference $$ \begin{aligned} C &= 2 \cdot \pi \cdot 5 \ C &= 10\pi \ C &\approx 10 \cdot 3.14159265 \ C &\approx 31.4159 \end{aligned} $$ ## Round to the nearest hundredth $$ C \approx 31.42 \text{ units} $$

A. 15.70 units

B. 31.42 units

C. 78.54 units

D. 27.63 units

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

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QUESTION IMAGE

Question

Explanation:

Identify the given values and formula

Calculate the circumference

Round to the nearest hundredth

Answer: