You misunderstand. 'The area of the diameter'. The diameter is a STRAIGHT LINE, it is NOT an area.
The question should read ' How do you find the area of a circle, knowing only the diameter?'
To answer the question
Remember the equation ;-
A = pi*r^2
Where
'A' is the area
'pi' ~ 3.14 (A constant)
'r' is the radius.
Now the radius is one half the diameter ; (r = d/2) or (d = 2r)
We can algebraically substitute
A = pi *(d/2)^2
So as an example , is the diameter is 20
Then
A = 3.14 ( 20/2)^2 (Remember ; do what's inside the brackets first)
A = 3.14 * 10^2
A = 3.14 * 100
A = 314.00
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To find area of a circle using diameter, you use this formuler. Area=pi(diameter/2)(diameter/2)
Divide the circumference by pi, and that will give you the diameter. Then take half of the diameter (the radius), and plug it into the formula for the area of a circle (A=πr²)
If the area of a circle is given as 67cm squared, the diameter is 9.236 cm and the circumference is 29.02 cm
The diameter of a circle with an area of 37.68 is 6.92
If you have the circumference: circumference = (pi) * diameter diameter = circumference / (pi) If you have the area: area = (pi) * radius * radius radius = square_root(area / pi) radius = diameter / 2 diameter = 2 * square_root(area / pi)