chunkymonkey090
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99 POINTS
At a zoo, the leopard pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 12 m. The inner edge of the sidewalk is a circle with a radius of 8 m. (1 point for showing all of your work) a. Write and simplify an expression for the exact area of the sidewalk. (1 point for the answer) b. Find the approximate area of the sidewalk. Use 3.14 to approximate π. (1 point for the answer)

Respuesta :

calculista

Answer:

Part a) The exact area of the sidewalk is [tex]80\pi\ m^{2}[/tex]

Part b) The approximate area of the sidewalk is [tex]251.2\ m^{2}[/tex]

Step-by-step explanation:

we know that

The area of the sidewalk is equal to the area of the outer circle minus the area of the inner circle

Part a) Find the exact area of the sidewalk

[tex]A=\pi (12)^{2} -\pi (8)^{2}[/tex]

[tex]A=\pi [144-64][/tex]

[tex]A=80\pi\ m^{2}[/tex]

Part b) Find the approximate area of the sidewalk

assume [tex]\pi=3.14[/tex]

substitute

[tex]A=80(3.14)=251.2\ m^{2}[/tex]

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