sm1068486
sm1068486 sm1068486
  • 12-11-2018
  • Mathematics
contestada

How much fabric is required to cover x buttons in the shape of a circle whose radius is 3x ?

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JannetPalos
JannetPalos JannetPalos
  • 22-11-2018

Radius of 1 button = r = 3x

Fabric required to cover 1 button = Area of the circle

= [tex]\pi r^{2}[/tex]

= [tex]\pi (3x)^{2}[/tex]

= [tex]9\pi x^{2}[/tex]

Total number of buttons = x

Fabric required to cover 1 button = [tex]9\pi x^{2}[/tex]  

Fabric required to cover x buttons = [tex]x(9\pi x^{2} )[/tex]

[tex]=9\pi x^{3}[/tex]

Hence, fabric required to cover x buttons [tex]=9\pi x^{3}[/tex]  sq. units


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