Respuesta :

9514 1404 393

Answer:

  • 17.27 miles around
  • about 23.75 square miles

Step-by-step explanation:

a) The circumference of the circle is given by ...

  C = πd

  C = (3.14)(5.5 mi) = 17.27 mi

The distance around the lake is about 17.27 miles.

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b) The area is given by ...

  A = πr^2 . . . . . where r = d/2

  A = (3.14)(2.75^2) ≈ 23.75 . . . . square miles

The surface area of the lake is about 23.75 square miles.

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If you use a more exact value of pi (the "pi button" for example), then the hundredths digit increases by 1 in each case: 17.28, 23.76.