AishwaryaO691269 AishwaryaO691269
  • 03-11-2022
  • Mathematics
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Frank has a circle Garden the area of the garden is 100 ft² what is the approximate distance from the edge of Frank's garden to the center of the garden ? (A = pi r²)

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XuanM187851 XuanM187851
  • 03-11-2022

The area of a cirle is given by

[tex]A=\pi(R^2)\text{ where R is the radius, the distance from the edge/circumference to the centre}[/tex]

We seek to find R, so let us make it the subject of the formula;

[tex]R=\sqrt[]{\frac{A}{\pi}}[/tex][tex]\begin{gathered} R=\sqrt[]{\frac{100}{3.142}} \\ R=5.64\approx6ft \end{gathered}[/tex]

Therefore, the approximate distance from the edge of Frank's garden to the center of the garden is 6ft

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