At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. T
he inner edge of the sidewalk is a circle with a radius of 9 m.
⦁ Write and simplify an expression for the exact area of the sidewalk.
⦁ Find the approximate area of the sidewalk. Use 3.14 to approximate π
1 answer:
Outer radius: Ro = 11 m
Inner radius: Ri = 9 m
Area of the sidewalk: A = <span>π (Ro^2 - Ri^2)
A = </span><span>π ( (11 m)^2 - (9 m)^2 )
A= </span><span>π ( 121 m^2 - 81 m^2 )
A = </span><span>π ( 40 m^2 )
A= 40</span><span>π m^2
The exact area of the sidewalk is 40</span><span>π square meters
A = 40 (3.14) m^2
A = 125.6 m^2
The approcimate area of the sidewalk is 125.6 m^2</span>
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