The area of a circle is 28.26 square centimeters. What is its diameter (use 3.14 for ð)?
If pi r^2 = 28.26,
r^2 = 9.00
r = 3.00 cm
Diameter = 6.00 cm
Writeacher's method is correct
Work ~~> pi r^2 = 28.26
http://www.math.com/tables/geometry/areas.htm
Then you'll have the radius (r) -- and you can double it for the diameter.
A math teacher will double-check me.
To find the diameter of a circle, we can use the formula:
Diameter = √(4 * Area / π)
Given that the area of the circle is 28.26 square centimeters, we substitute the values into the formula:
Diameter = √(4 * 28.26 / 3.14)
Diameter = √(112.84 / 3.14)
Diameter = √(35.99)
Diameter ≈ 6.00 cm
Therefore, the diameter of the circle is approximately 6.00 centimeters.
To find the diameter of a circle when you know its area, you can use the formula:
Area = π * (radius^2)
In this case, you have the area of the circle, which is given as 28.26 square centimeters.
So, we can rearrange the formula to solve for the radius:
radius^2 = Area / π
radius^2 = 28.26 / 3.14
Now, we can take the square root of both sides to find the radius:
radius = √(28.26 / 3.14)
Calculating this gives us the radius value.
Finally, to find the diameter, we know that diameter is equal to twice the radius:
diameter = 2 * radius
Therefore, you can substitute the value of the radius into this formula and calculate the diameter of the circle.