sunnyy49 sunnyy49
  • 26-05-2021
  • Mathematics
contestada

Help please. It’s geometry and it asks to find the shaded region.

Help please Its geometry and it asks to find the shaded region class=

Respuesta :

nuuk nuuk
  • 31-05-2021

Answer: (a)

Step-by-step explanation:

Given

The diameter of the inner circle is [tex]d=14\ m[/tex]

thickness of the strip is [tex]t=2\ m[/tex]

So, the radius of inner circle is [tex]r=7\ m[/tex]

Radius of the outer circle [tex]R=7+2=9\ m[/tex]

Area of the shaded region is the difference of the area of outer circle and inner circle.

[tex]\Rightarrow \pi R^2-\pi r^2\\\Rightarrow \pi (9^2-7^2)\\\Rightarrow 3.142\times 32\\\Rightarrow 100.5\ m^2[/tex]

hence, option (a) is correct.

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