Circle Shape
r = radius
d = diameter
C = circumference
A = area
π = pi = 3.1415926535898
√ = square root
Great Circle Mapper. FAQ Featured Maps More Home Controls. Paths: Distance and Time. Units: Minimum: Ground Speed or Mach Information on this site may not be accurate or current and is not valid for flight planning or navigation. No warranty of fitness for any purpose is made or implied. Flight planning and navigation should only be done. The largest circle that can be drawn on the sphere surface is the great circle. The shortest distance between any two points on the sphere surface is the Great Circle distance. Historically, the Great circle is also called as an Orthodrome or Romanian Circle. The diameter of. The diameter of any sphere coincides with the diameter of the great.
Calculator Use
Use this circle calculator to find the area, circumference, radius or diameter of a circle. Given any one variable A, C, r or d of a circle you can calculate the other three unknowns.
Units: Note that units of length are shown for convenience. They do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. Any other base unit can be substituted.
Circle Formulas in terms of Pi π, radius r, and diameter d
Radius and Diameter:
r = d/2
d = 2r
Area of a circle:
A = πr2 = πd2/4
Circumference of a circle:
C = 2πr = πd
Circle Calculations:
Using the formulas above and additional formulas you can calculate properties of a given circle for any given variable.
Calculate A, C and d Given r
Given the radius of a circle calculate the area, circumference and diameter. Putting A, C and d in terms of r the equations are:
[A = pi r^2 ]
[C = 2 pi r ]
[d = 2r ]
Calculate r, C and d Given A
Given the area of a circle calculate the radius, circumference and diameter. Putting r, C and d in terms of A the equations are:
[r = sqrt{frac{A}{pi}} ]
[C = 2 pi r = 2 pi sqrt{frac{A}{pi}} ]
[ d = 2r = 2 sqrt{frac{A}{pi}} ]
Calculate A, r and d Given C
Given the circumference of a circle calculate the radius, area and diameter. Putting A, r and d in terms of C the equations are:
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[r = frac{C}{2 pi} ]
[A = pi r^2 = pi left(frac{C}{2 pi}right)^2 = frac{pi C^2}{4 pi^2} = frac{C^2}{4 pi} ]
[d = 2r = frac{2C}{2 pi} = frac{C}{pi} ]
Calculate A, C and r Given d
Given the diameter of a circle calculate the radius, area and circumference. Putting A, C and r in terms of d the equations are:
[r = frac{d}{2} ]
[A = pi r^2 = pi left(frac{d}{2}right)^2 = frac{pi d^2}{4} ]
[C = 2 pi r = 2 pi frac{d}{2} = pi d ]
- Author: admin
- Category: Category
Circle Shape
r = radius
d = diameter
C = circumference
A = area
π = pi = 3.1415926535898
√ = square root
Great Circle Mapper. FAQ Featured Maps More Home Controls. Paths: Distance and Time. Units: Minimum: Ground Speed or Mach Information on this site may not be accurate or current and is not valid for flight planning or navigation. No warranty of fitness for any purpose is made or implied. Flight planning and navigation should only be done. The largest circle that can be drawn on the sphere surface is the great circle. The shortest distance between any two points on the sphere surface is the Great Circle distance. Historically, the Great circle is also called as an Orthodrome or Romanian Circle. The diameter of. The diameter of any sphere coincides with the diameter of the great.
Calculator Use
Use this circle calculator to find the area, circumference, radius or diameter of a circle. Given any one variable A, C, r or d of a circle you can calculate the other three unknowns.
Units: Note that units of length are shown for convenience. They do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. Any other base unit can be substituted.
Circle Formulas in terms of Pi π, radius r, and diameter d
Radius and Diameter:
r = d/2
d = 2r
Area of a circle:
A = πr2 = πd2/4
Circumference of a circle:
C = 2πr = πd
Circle Calculations:
Using the formulas above and additional formulas you can calculate properties of a given circle for any given variable.
Calculate A, C and d Given r
Given the radius of a circle calculate the area, circumference and diameter. Putting A, C and d in terms of r the equations are:
[A = pi r^2 ]
[C = 2 pi r ]
[d = 2r ]
Calculate r, C and d Given A
Given the area of a circle calculate the radius, circumference and diameter. Putting r, C and d in terms of A the equations are:
[r = sqrt{frac{A}{pi}} ]
[C = 2 pi r = 2 pi sqrt{frac{A}{pi}} ]
[ d = 2r = 2 sqrt{frac{A}{pi}} ]
Calculate A, r and d Given C
Given the circumference of a circle calculate the radius, area and diameter. Putting A, r and d in terms of C the equations are:
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[r = frac{C}{2 pi} ]
[A = pi r^2 = pi left(frac{C}{2 pi}right)^2 = frac{pi C^2}{4 pi^2} = frac{C^2}{4 pi} ]
[d = 2r = frac{2C}{2 pi} = frac{C}{pi} ]
Calculate A, C and r Given d
Given the diameter of a circle calculate the radius, area and circumference. Putting A, C and r in terms of d the equations are:
[r = frac{d}{2} ]
[A = pi r^2 = pi left(frac{d}{2}right)^2 = frac{pi d^2}{4} ]
[C = 2 pi r = 2 pi frac{d}{2} = pi d ]