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Ad libitum [116K]
3 years ago
10

A circle has an area of 225pift2 find the radius of the circle and find the diameter and circumference of the circle

Mathematics
1 answer:
RideAnS [48]3 years ago
6 0

Answer:

  • radius: 15 ft
  • diameter: 30 ft
  • circumference: 30π ft

Step-by-step explanation:

The area is given in terms of the radius as ...

  A = πr^2

so we can find the radius as ...

  r = √(A/π)

For your circle, the radius is ...

  r = √(225π ft^2/π) = 15 ft

The diameter is twice the radius, so is ...

  d = 2r = 2·15 ft = 30 ft

And the circumference is π times the diameter:

  C = πd = π·30 ft = 30π ft

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