The area of a circle is 38.5 cm2. Find the diameter of circle

To find the diameter of a circle, we can use the formula for the area of a circle, which is A = πr^2, where A is the area and r is the radius of the circle.

Given that the area of the circle is 38.5 cm^2, we can set up the equation as follows:

38.5 = πr^2

To find the radius, we can rearrange the equation:

r^2 = 38.5/π

Now, we can solve for r by taking the square root of both sides:

r = √(38.5/π)

Using a calculator, we can find that r ≈ 3.11 cm.

Finally, to find the diameter, we can multiply the radius by 2:

d = 2r

d ≈ 2(3.11) ≈ 6.22 cm

Therefore, the diameter of the circle is approximately 6.22 cm.