jojopetep5jn3o
jojopetep5jn3o jojopetep5jn3o
  • 11-03-2020
  • Mathematics
contestada

Find the exact area of the region bounded by two concentric circles with radli 10 inches and 6 Inches.
16pi
64pi
88pi

Respuesta :

carlosego
carlosego carlosego
  • 19-03-2020

For this case we have that by definition, the area of a circle is given by:

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

Where:

r: It is the radius of the circle

Circle 1:

[tex]A_ {1} = \pi * (10) ^ 2 = 100 \pi \ in ^ 2[/tex]

Circle 2:

[tex]A_ {2} = \pi * (6)^2 = 36 \pi \ in ^ 2[/tex]

Thus, the area of the region bounded is given by:

[tex]A = 100 \pi-36 \pi = 64 \pi \ in ^ 2[/tex]

Answer:

[tex]64 \pi \ in ^ 2[/tex]

Option B

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