Calculate Circle Radius/Diameter from Surface Area

AI Thread Summary
To calculate the radius or diameter from a circular surface area, use the formula A = πr². Rearranging this gives r = √(A/π) for the radius. For a surface area of 5.26 mm², the radius can be found by substituting A into the formula. The diameter can then be calculated as d = 2r. Understanding these formulas allows for accurate conversions between area, radius, and diameter.
magmash
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Hi

How is circular surface area values square rooted ??. I am using this formula r2Xπ=mm2 to calculate the surface area of a circle but i want to know if there is a formula to get back to the diameter or the radius of the circle ?.

example i have a circular surface area of 5.26mm2 and i want the diameter of that value, how do i solve this ?

Thanks in advance
 
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S=\pi r^2 \Rightarrow r^2=\frac{S}{\pi} \Rightarrow r=\sqrt{\frac{S}{\pi}}
 
Shyan said:
S=\pi r^2 \Rightarrow r^2=\frac{S}{\pi} \Rightarrow r=\sqrt{\frac{S}{\pi}}
Thanks for the replay Shyan.

a circel with a diameter of 1.29mm 0.6452π = 1.30 The formula you mentioned √s/π gives a value of 0.362.. ?

Could you show me an example, I would be very thanks full
 
magmash said:
Thanks for the replay Shyan.

a circel with a diameter of 1.29mm 0.6452π = 1.30 The formula you mentioned √s/π gives a value of 0.362.. ?

Could you show me an example, I would be very thanks full
Careful boy! Its not r=\frac{\sqrt{S}}{\pi}, its r=\sqrt{\frac{S}{\pi}}.
 
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Likes magmash
:DThanks
 
magmash said:
Hi

How is circular surface area values square rooted ??.
We don't call it "surface area" - just area. Surface area applies to surfaces in three dimensions. For objects in the plane (two dimensions), we talk about the area.
magmash said:
I am using this formula r2Xπ=mm2
The actual formula is ##A = \pi r^2##. If r is given in mm., then the units of area will be square millimeters or mm2. The formula shouldn't explicitly show units.
magmash said:
to calculate the surface area of a circle but i want to know if there is a formula to get back to the diameter or the radius of the circle ?.
From the equation ##A = \pi r^2##, to get the radius, solve for r. To do this, divide both sides of the equation by ##\pi##, then take the square root. Once you have the radius r, you can get the diameter using d = 2r.
magmash said:
example i have a circular surface area of 5.26mm2 and i want the diameter of that value, how do i solve this ?

Thanks in advance
 
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