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The athletic department at Pi High School is planning a circular track 440
yards long (circumference). The area inside the track will be planted with
sod. About how many square yards of sod are needed. Round your answer
to the nearest whole number.

Respuesta :

Answer:

  • The amount of sod that is needed is 15400 yards².

Step-by-step explanation:

We know that:

  • Circumference = 2πr
  • Circumference = 440 yards

We will need to find the radius to find the area of the circular track. Let's simplify the equation 2πr = 440.

  • => 2πr = 440
  • => πr = 440/2
  • => 22r/7 = 220
  • => 22r/7 = 22 x 10
  • => r/7 = 10
  • => r = 70

Now, let's substitute the radius into πr².

  • => πr²
  • => 22/7 x 70 x 70
  • => 22 x 10 x 70
  • => 15400 yards²

Hence, the amount of sod that is needed is 15400 yards².

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