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chancemorris123

  • one year ago

Find the circumference of a circle whose area is /. A. B. C. D.

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  1. chancemorris123
    • one year ago
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  2. jdoe0001
    • one year ago
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    \(\bf \textit{area of a circle}=\pi r^2\qquad area=60\pi \qquad thus \\ \quad \\ 60\pi =\pi r^2\impliedby \textit{solve for "r"}\) what does that give you for "r"? or radius

  3. chancemorris123
    • one year ago
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    60=rsqure

  4. jdoe0001
    • one year ago
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    hmm rsquare?

  5. chancemorris123
    • one year ago
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    idk what r is

  6. jdoe0001
    • one year ago
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    \(\bf \textit{area of a circle}=\pi r^2\qquad area=60\pi \qquad thus \\ \quad \\ 60\pi =\pi r^2\implies \cfrac{60\cancel{\pi }}{\cancel{\pi }}=r^2\implies \sqrt{60}=\sqrt{r^2}\implies \sqrt{60}=r\)

  7. jdoe0001
    • one year ago
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    that was close though

  8. chancemorris123
    • one year ago
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    idk

  9. chancemorris123
    • one year ago
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    7.777

  10. jdoe0001
    • one year ago
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    so now that we know what "r" is let us use it in the circumference formula then \(\bf circumference=2\pi r\qquad \sqrt{60}=r\qquad then \\ \quad \\ circumference=2\pi \left( \sqrt{60} \right)\)

  11. jdoe0001
    • one year ago
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    and then you'd want to simplify that 60, see if you can squeeze something out of the radical

  12. chancemorris123
    • one year ago
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    30

  13. chancemorris123
    • one year ago
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    30 pie

  14. jdoe0001
    • one year ago
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    one may note that \(\huge \pi \ne pie\) but yours is tastier though

  15. chancemorris123
    • one year ago
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    so is it 30pie

  16. chancemorris123
    • one year ago
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    so is it 30 pie?

  17. jdoe0001
    • one year ago
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    \(\bf circumference=2\pi r\qquad \sqrt{60}=r\qquad then \\ \quad \\ circumference=2\pi \left( \sqrt{60} \right) \\ \quad \\ {\color{brown}{ 60\to 2\cdot 2\cdot 15\to 2^2\cdot 15 }}\qquad thus \\ \quad \\ 2\pi \left( \sqrt{60} \right)\implies 2\pi \left( \sqrt{{\color{brown}{ 2^2\cdot 15}}} \right)\implies 2\pi \sqrt{2^2}\sqrt{15}\)

  18. chancemorris123
    • one year ago
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    so its 2square root 5

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