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Can you develop a formula for the area of a circle as a function of its diameter?
Yes, this is fairly easy and a simple test in many exams where deriving a measurement from another measurement is asked for, but where the two are not directly related by a formula.
Knowing that the formula for a circle's area is pi x r2, we can substitute r for d/2, as that is the definition (diameter is double radius, radius is half diameter). Thus, A = pi x (d/2)2 = pi x (d2)/4.
What else can I help you with?
What is the formula for the diameter or a circle?
If you are given the radius of the circle, you can use the formula: diameter = 2*radius If you are given the circumference of the circle, you can use the formula: diameter = circumference/pi
What is a diameter formula as a function of circumference?
The diameter of a circle can be expressed as a function of its circumference using the formula ( d = \frac{C}{\pi} ), where ( d ) is the diameter and ( C ) is the circumference. This relationship arises from the definition of the circumference, which is ( C = \pi d ). Thus, by rearranging the formula, you can easily find the diameter if the circumference is known.
What is the formula for the diameter of a circle?
The diameter of a circle is twice its radius, or 2r.
What is the formula for the circumference of a circle if the diameter is 8.70 m?
The formula for the circumference of a circle is the same, whatever its diameter. Circumference = pi*diameter.
What is the outside diameter formula?
The formula to calculate the outside diameter of a circle is: outside diameter = diameter + (2 * thickness). This formula takes into account the thickness of the circle's material when calculating the overall dimension.
How to calculate the diameter of a circle when the circumference of the circle is 7?
pi*diameter = circumference Rearrange the formula so as the diameter is the subject of the formula: diameter = circumference/pi diameter = 7/pi = 2.228169203
How do you work out the area of a circle in a square?
The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.
If you have the circumference of a circle what is the diameter?
Formula: diameter = pi / circumference
What is the circumference of a circle with a diameter of 18 in.?
The circumference of a circle with a diameter of 18 inches is 56.5 inches.
What is the mathematical formula for finding the radius of a circle?
To calculate this you will need the diameter of the circle. The formula is: diameter/2*pi If you don't know the diameter you can also use the area of the circle: Sqrt(Area/pi) = radius
What is the formula for finding perimeter of a circle?
The formula for the circumference of a circle is pi * diameter or (2 radius.)
What is the formula to find the are of a circle with diameter?
A(Circle)=Pi*Diameter^2 ^2 = squared or to the 2nd power
