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The circumference of a circle is 9pi cm. What is the area, in square centimeters? Express answer in terms of pi.

User HyperCube
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1 Answer

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Answer: 20.25pi square cm

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Work Shown:

C = 2pi*r

9pi = 2pi*r

r = (9pi)/(2pi)

r = 4.5

A = pi*r^2

A = pi*(4.5)^2

A = 20.25pi square cm

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Step-by-step explanation:

The first portion involves using the circumference C = 9pi to determine the radius r. The circumference is the perimeter around the circle.

Once we know that r = 4.5 cm, we then plug that into the area of a circle formula A = pi*r^2

Side notes:

  • 4.5 = 9/2
  • 20.25 = 81/4
User Hugo Salvador
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7.8k points