The area of a circle is about 78.5 square meters.
Which of these is the diameter of the circle?
the one that's about 78.5/3.14
To find the diameter of the circle, we can use the formula for the area of a circle:
A = π * r^2
where A is the area and r is the radius of the circle. Since we know the area (78.5 square meters), we can rearrange the formula to solve for the radius (r):
r = sqrt(A / π)
Substituting the given area into the formula:
r = sqrt(78.5 / π)
To find the diameter (d), we can double the radius:
d = 2 * r
Therefore, the diameter of the circle can be calculated using the formula:
d = 2 * sqrt(78.5 / π)
Now, let's calculate the value of d.
To find the diameter of a circle given its area, we can use the formula:
Area = π * radius^2
Given that the area of the circle is about 78.5 square meters, we can rearrange the formula to solve for the radius:
78.5 = π * radius^2
Divide both sides of the equation by π:
radius^2 = 78.5 / π
Simplify the right side of the equation:
radius^2 ≈ 24.97
To find the radius, we can take the square root of both sides:
radius ≈ √24.97
radius ≈ 4.99 meters
The diameter of a circle is twice its radius, so the diameter of the circle is:
diameter ≈ 2 * radius
diameter ≈ 2 * 4.99
diameter ≈ 9.98 meters
Therefore, the diameter of the circle is approximately 9.98 meters.