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Caroline is building a circular fence for her basil garden. She used 29.8 feet of fencing for the fence. What is the radius of the garden?

Respuesta :

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Given :

  • Circumference = 29.8

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To find:

[tex] \\ [/tex]

  • Radius of circle

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Solution:-

[tex] \\ [/tex]

We know:-

[tex] \rm circumference = 2\pi r[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \looparrowright \sf circumference = 2\pi r[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf 29.8= 2\pi r[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf 29.8= 2 \times \dfrac{22}{7} \times r[/tex]

[tex] \\[/tex]

[tex] \looparrowright \sf \dfrac{298 \times7}{22 \times 2 \times 10} = r[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \dfrac{149 \times7}{22 \times 10} = r[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \dfrac{1043}{220} = r[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf r = 4.74[/tex]

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