quintonjackson169
quintonjackson169 quintonjackson169
  • 19-02-2020
  • Mathematics
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A horse trots in a circle around its trainer at the end of a 22-foot-long rope. Find the area of the circle that is swept out. Round to the nearest square foot.

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Аноним Аноним
  • 19-02-2020

The horse describes a circle with radius 22.

The area for a circle with radius [tex]r[/tex] is [tex]A=\pi r^2[/tex]

So, in your case, we have

[tex]A=\pi r^2 = 22\cdot 22\cdot\pi=484\pi[/tex]

Since [tex]\pi\approx 3.14[/tex], we have

[tex]A\approx 484\cdot 3.14=1519.76[/tex]

If we have to round this to the nearest square foot, we have 1520.

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