how do you find the diameter of a circle if you have the area
A=pi*r^2
Area = pi d^2/4
d^2 = 4 * area / pi
d = 2 sqrt [ area/pi ]
To find the diameter of a circle when you have the area, you can use the following formula:
d = 2 * √(A / π)
where d represents the diameter of the circle, A represents the area of the circle, and π is a mathematical constant approximately equal to 3.14159.
To use this formula, follow these steps:
1. Obtain the value of the area of the circle.
2. Divide the area by π (pi).
3. Take the square root of the result.
4. Multiply the square root by 2 to find the diameter.
Here's an example:
Let's say the area of the circle is 50 square units. Using the formula mentioned earlier:
d = 2 * √(50 / π)
First, divide 50 by π:
50 / 3.14159 ≈ 15.9155
Next, take the square root of the result:
√15.9155 ≈ 3.9937
Finally, multiply the square root by 2 to obtain the diameter:
2 * 3.9937 ≈ 7.9874
Therefore, the approximate diameter of the circle with an area of 50 square units is about 7.9874 units.