If the area of a circle is 586m2

, then what is the length of the diameter to the nearest meter?

1 answer

To find the length of the diameter of the circle, we use the formula for the area of a circle:

Area = πr^2

Given that the area is 586m^2, we can rearrange the formula to solve for the radius (r):

586 = πr^2

r^2 = 586/π

r ≈ √(186/π)

r ≈ 13.728

Since the diameter is equal to 2 times the radius, the diameter is approximately:

Diameter ≈ 2(13.728) ≈ 27.456

Rounded to the nearest meter, the length of the diameter is 27 meters.
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