2 what is the area of the following circles? answer correct to two decimal places.
a radius of 25 mm
b radius of 3 cm
c radius of 10 m
d diameter of 18 m
e diameter of 98 cm
f diameter of 2.8 mm

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Accepted Answer

{ "quality": "clear", "question_count": 6, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Circle Area" ], "new_concepts": [], "current_concepts": [ "Circle Area" ] } ## Calculate areas using radius $$ \begin{aligned} &\text{a } r = 25\text{ mm} \implies A = \pi \times 25^2 = 625\pi \approx 1963.50\text{ mm}^2\ &\text{b } r = 3\text{ cm} \implies A = \pi \times 3^2 = 9\pi \approx 28.27\text{ cm}^2\ &\text{c } r = 10\text{ m} \implies A = \pi \times 10^2 = 100\pi \approx 314.16\text{ m}^2 \end{aligned} $$ ## Calculate areas using diameter $$ \begin{aligned} &\text{d } d = 18\text{ m} \implies r = 9\text{ m} \implies A = \pi \times 9^2 = 81\pi \approx 254.47\text{ m}^2\ &\text{e } d = 98\text{ cm} \implies r = 49\text{ cm} \implies A = \pi \times 49^2 = 2401\pi \approx 7542.96\text{ cm}^2\ &\text{f } d = 2.8\text{ mm} \implies r = 1.4\text{ mm} \implies A = \pi \times 1.4^2 = 1.96\pi \approx 6.16\text{ mm}^2 \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | a | Radius of $25\text{ mm}$ | $1963.50\text{ mm}^2$ | | b | Radius of $3\text{ cm}$ | $28.27\text{ cm}^2$ | | c | Radius of $10\text{ m}$ | $314.16\text{ m}^2$ | | d | Diameter of $18\text{ m}$ | $254.47\text{ m}^2$ | | e | Diameter of $98\text{ cm}$ | $7542.96\text{ cm}^2$ | | f | Diameter of $2.8\text{ mm}$ | $6.16\text{ mm}^2$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Circle Area" ] }

No.	Problem	Answer
b	Radius of \(3\text{ cm}\)	\(28.27\text{ cm}^2\)
c	Radius of \(10\text{ m}\)	\(314.16\text{ m}^2\)
d	Diameter of \(18\text{ m}\)	\(254.47\text{ m}^2\)
e	Diameter of \(98\text{ cm}\)	\(7542.96\text{ cm}^2\)
f	Diameter of \(2.8\text{ mm}\)	\(6.16\text{ mm}^2\)

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Calculate areas using radius

Calculate areas using diameter

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