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The last customer of the day calls telling you they purchased 96 meters of fencing to fence in a
circular area around their flagpole. They want to know how much area of concrete they'd need to
buy to cover the entire circular pad around the flagpole. Using their fence as the circumference,
calculate how much area they will need to cover with the concrete for their circular pad.

Respuesta :

semsee45

Answer:

Area = 733 m² (to the nearest meter)

Step-by-step explanation:

Formulae

  • Circumference of a circle = 2[tex]\pi[/tex]r
  • Area of a circle =  [tex]\pi[/tex]r²

      (where r is the radius of the circle)

Find the radius

circumference = 96 m

Using the circumference of a circle formula:

⇒  2[tex]\pi[/tex]r = 96

⇒  [tex]\pi[/tex]r = 96 ÷ 2 = 48

⇒  r = 48 ÷ [tex]\pi[/tex] = 48/[tex]\pi[/tex]

Find the area

radius r = 48/[tex]\pi[/tex]

Using the area of a circle formula:

⇒  A = [tex]\pi[/tex]r²

⇒  A = [tex]\pi[/tex](48/[tex]\pi[/tex])²

⇒  A = 2304/[tex]\pi[/tex]

⇒  A = 733.3859778...

⇒  A = 733 m² (to the nearest meter)

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