gabriellep9083 gabriellep9083
  • 11-02-2020
  • Mathematics
contestada

A circular copper decoration has a diameter of 2 in. How much more area would a circular decoration with a diameter of 6 in. have?

Respuesta :

sam4040
sam4040 sam4040
  • 17-02-2020

Answer:

[tex]100.53\ inch^2[/tex]

Step-by-step explanation:

Area of circle: [tex]Area\ of\ circle\ having\ radius\ r=\pi r^2[/tex]

Area of circle having 2 inch diameter:

[tex]Here\ r=2\ in\\\\Area(A_1)=\pi\times 2^2=4\pi[/tex]

Area of circle having 6 inch diameter:

[tex]Here\ r=6\ in\\\\Area(A_1)=\pi\times 6^2=36\pi[/tex]

[tex]Difference\ between\ area:\\\\A_2-A_1=36\pi-4\pi\\\\A_2-A_1=32\pi\\\\A_2-A_1=100.53\ inch^2[/tex]

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