queenkekelove2 queenkekelove2
  • 23-03-2018
  • Mathematics
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The circumference of a circular rug is 24.8 meters. What is the area of the rug? Use 3.1 for pi

The circumference of a circular rug is 248 meters What is the area of the rug Use 31 for pi class=

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rejkjavik rejkjavik
  • 27-01-2019

Answer:

The area of rug is 48.9 m^2

Step-by-step explanation:

Let's assume radius of rug is r m

we know formula for circumference as

[tex]C=2\pi r[/tex]

we are given

C=24.8

and then we can solve for r

[tex]24.8=2\pi r[/tex]

[tex]r=3.947[/tex]

now, we can use area formula

[tex]A=\pi r^2[/tex]

we can plug r

and we get

[tex]A=\pi (3.947)^2[/tex]

[tex]A=48.94227[/tex]

So,

The area of rug is 48.9 m^2

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