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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