1 find the area of each circle. answer correct to one decimal place.

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Accepted Answer

{ "quality": "clear", "question_count": 6, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Circle Area" ], "new_concepts": [], "current_concepts": [ "Circle Area" ] } ## Calculate areas for circles with given radii Using the *Circle Area* knowledge point $$ \begin{aligned} &\text{For a: } r = 4\text{ m} \implies A = \pi \times 4^2 = 16\pi \approx 50.3\text{ m}^2\ &\text{For b: } r = 4.5\text{ cm} \implies A = \pi \times 4.5^2 = 20.25\pi \approx 63.6\text{ cm}^2\ &\text{For c: } r = 2.3\text{ mm} \implies A = \pi \times 2.3^2 = 5.29\pi \approx 16.6\text{ mm}^2 \end{aligned} $$ ## Calculate areas for circles with given diameters Using the *Circle Area* knowledge point $$ \begin{aligned} &\text{For d: } d = 9.1\text{ mm} \implies r = 4.55\text{ mm} \implies A = \pi \times 4.55^2 = 20.7025\pi \approx 65.0\text{ mm}^2\ &\text{For e: } d = 12\text{ cm} \implies r = 6\text{ cm} \implies A = \pi \times 6^2 = 36\pi \approx 113.1\text{ cm}^2\ &\text{For f: } d = 11\text{ mm} \implies r = 5.5\text{ mm} \implies A = \pi \times 5.5^2 = 30.25\pi \approx 95.0\text{ mm}^2 \end{aligned} $$ | No. | Answer | |---|---| | a | $50.3\text{ m}^2$ | | b | $63.6\text{ cm}^2$ | | c | $16.6\text{ mm}^2$ | | d | $65.0\text{ mm}^2$ | | e | $113.1\text{ cm}^2$ | | f | $95.0\text{ mm}^2$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Circle Area" ] }

No.	Answer
b	\(63.6\text{ cm}^2\)
c	\(16.6\text{ mm}^2\)
d	\(65.0\text{ mm}^2\)
e	\(113.1\text{ cm}^2\)
f	\(95.0\text{ mm}^2\)

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Explanation:

Calculate areas for circles with given radii

Calculate areas for circles with given diameters

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