what is the diameter of a circle that has an area of 36 square inches
Area = pi r^2
36 = (3.1416) r^2
Solve for r and then double.
I hope this helps.
To find the diameter of a circle with a given area, you can use the formula:
Area = π * (radius)^2
First, let's find the radius.
Step 1: Rearrange the formula to solve for the radius:
Area = π * (radius)^2
Divide both sides of the equation by π:
Area / π = (radius)^2
Take the square root of both sides:
√(Area / π) = radius
Step 2: Substitute the given area into the formula and calculate the radius:
Area = 36 square inches
radius = √(36 / π)
radius = √(36 / 3.14)
radius ≈ √11.46
radius ≈ 3.39 inches (rounded to two decimal places)
Step 3: Calculate the diameter, which is twice the radius:
diameter = 2 * radius
diameter ≈ 2 * 3.39
diameter ≈ 6.78 inches (rounded to two decimal places)
Therefore, the diameter of the circle with an area of 36 square inches is approximately 6.78 inches.