what is the approximate area of the circle shown below?

a. $49\text{ cm}^2$
b. $191\text{ cm}^2$
c. $96\text{ cm}^2$
d. $24.5\text{ cm}^2$

Question

what is the approximate area of the circle shown below?

a. $49\text{ cm}^2$
b. $191\text{ cm}^2$
c. $96\text{ cm}^2$
d. $24.5\text{ cm}^2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Radius of a Circle", "Area of a Circle" ], "new_concepts": [], "current_concepts": [ "Radius of a Circle", "Area of a Circle" ] } ## Identify the given radius Using the *Radius of a Circle* knowledge point $$ r = 7.8\text{ cm} $$ ## Calculate the area of the circle Using the *Area of a Circle* knowledge point $$ \begin{aligned} A &= \pi r^2 \ A &= \pi (7.8)^2 \ A &= 60.84\pi \ A &\approx 3.14159 \times 60.84 \approx 191.13\text{ cm}^2 \end{aligned} $$ ## Match with the closest option The calculated area is approximately $191\text{ cm}^2$, which matches option B.

A. $49\text{ cm}^2$

B. $191\text{ cm}^2$

C. $96\text{ cm}^2$

D. $24.5\text{ cm}^2$

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

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QUESTION IMAGE

Question

Explanation:

Identify the given radius

Calculate the area of the circle

Match with the closest option

Answer: