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

a. 31.42 square units
b. 78.54 square units
c. 64.57 square units
d. 15.71 square units

Question

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

a. 31.42 square units
b. 78.54 square units
c. 64.57 square units
d. 15.71 square units

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Circle Definition", "Radius of Circle" ], "new_concepts": [ "Area of Circle" ], "current_concepts": [ "Circle Definition", "Radius of Circle", "Area of Circle" ] } ## Identify the given radius and formula for the area of a circle $$ \begin{aligned} r &= 5 \ A &= \pi r^2 \end{aligned} $$ ## Calculate the area $$ \begin{aligned} A &= \pi \cdot 5^2 \ A &= 25\pi \ A &\approx 25 \cdot 3.14159265 \ A &\approx 78.5398 \end{aligned} $$ ## Round to the nearest hundredth $$ A \approx 78.54 \text{ square units} $$

(A) 31.42 square units

(B) 78.54 square units

(C) 64.57 square units

(D) 15.71 square units

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

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QUESTION IMAGE

Question

Explanation:

Identify the given radius and formula for the area of a circle

Calculate the area

Round to the nearest hundredth

Answer: