The general equation for the area of a circle is A = [Pi]r2. Since the radius, r, is one half the diameter, divide the diameter by two and substitute that result for rin the equation. Alternatively, you could use this equation instead: A = [Pi]d2 / 4. The value of Pi is 3.14. If you need greater precision, you could use 355/113, which is accurate to six -- count 'em, six! -- decimal places.
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TTr2 [Pi r squared] finds the area of the circle. TT x d [Pi x diameter] finds the circumference of a circle]
Diameter of a circle = circumference/pi
In order to find the diameter of a circle if you have the area is to rearrange the formula for the area of a circle to put diameter as the unknown, like so: PIE*d = Area of a Circle d = (Area of a Circle) / PIE Therefore if the area of your circle is 40cm, 40/PIE = 12.73cm and that's the diameter.
To find the diameter of a circle with a given area, you first need to calculate the radius using the formula for the area of a circle: A = πr^2. Given that the area is 314 cm^2, you can rearrange the formula to solve for the radius, which would be √(A/π). Plugging in the area, you get √(314/π) ≈ 10 cm. Finally, to find the diameter, you double the radius, resulting in a diameter of approximately 20 cm.
The area of a circle with a diameter of 6 units is: 28.27 square units.