Engineering Calculators
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Circle Sphere Calculator
Instructions:
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Review the methodology below to ensure it aligns with your project's requirements.
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Select US or Metric Units
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Select Input type:
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Diameter of a Circle or Sphere
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Radius of a Circle of Sphere
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Circumference of a Circle of Sphere
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Area of a Circle
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Volume of a Sphere
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Area of a Sphere
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Enter Input value
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Select the units for the input value.
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Click the Calculate button
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The results are displayed in the Results table
Methodology, Equations, and Examples:
The Circle/Sphere Calculator finds the area of a circle, the radius, the diameter, the circumference of a circle, and the area of a circle. Our Circle/Sphere Calculator also calculates the volume of a sphere, and the surface area of a sphere.
This area of a Circle Calculator can easily Calculate the area of a circle, surface area of a sphere, volume of a sphere, circumference of a circle, radius of a circle, and diameter of a circle. Input any measurement, and our calculator will promptly provide you with the results of all other measurements, eliminating the need for manual calculations.
The mathematical constant π (pi) is vital for circle calculations. It is the ratio of a circle's circumference to its diameter. It is approximately equal to 3.14159. Our Circle Calculator employs this constant to ensure precise calculations.
The radius is the distance between the center of a circle or sphere and any point on its circumference or surface. By determining the radius and diameter, you can find the circumference area and vice versa. Our Circle/Sphere calculator extends its capabilities to sphere calculations. If you have the volume or surface area of a sphere, our Circle/Sphere Calculator can swiftly calculate the radius and diameter. This feature is particularly useful for engineers, mathematicians, and students who work with three-dimensional shapes.
The Equations for the radius, diameter, circumference, area of a circle, volume of a sphere, and surface area of a sphere are:
Diameter = 2 x R
Area of a Circle = π x D^2 /4
Circumference = π x D
Volume of a Sphere = 4/3 xπ x R^3
Area of a Sphere = 4 xπ x R^2
where: D= diameter
R= radius
π = the ratio of a circle's circumference to its diameter ≈ 3.14159
Example 1: A soccer ball has a volume of 5,575 cm^3. Calculate the radius of the soccer ball.
Volume = 4/3 x π x R^3
Rearrange terms to solve for R:
R = (3 x V / 4 / π )^(1/3)
Substitute given value for the Volume:
R = (3 x 5,575 cm^3 /4 / π ) = 10.9998 cm
Example 2: Find the surface area of the soccer ball from Example 1
Surface Area of a Sphere = 4 x π x R^2
Substitute calculated value for the radius, R, Example 1 (10.9998 cm):
A = 4 x π x (10.9998 cm)^2 = 1,520.48 cm^2
