Can I use the circle circumference formula for a sphere?

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SUMMARY

The circumference of a sphere is calculated using the same formula as that for a circle, specifically the formula C = 2πr, where r is the radius. For a sphere with a radius of 3.09 inches, the correct circumference is approximately 19.4 inches. This value represents the circumference of a great circle, which is the largest circle that can be drawn on the sphere's surface. The discussion confirms that the formula for circumference applies universally to both circles and spheres.

PREREQUISITES
  • Understanding of the formula for circumference (C = 2πr)
  • Basic knowledge of geometry concepts
  • Familiarity with the concept of a great circle
  • Ability to perform calculations involving π (pi)
NEXT STEPS
  • Research the properties of great circles on spheres
  • Explore advanced geometry concepts related to spherical shapes
  • Learn about the applications of circumference in real-world scenarios
  • Investigate tools for geometric calculations, such as online calculators or geometry software
USEFUL FOR

Students studying geometry, educators teaching mathematical concepts, and anyone interested in understanding the relationship between circles and spheres.

Perchaddition
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Trying to calculate a circumference of a sphere from a radius of 3.09 inches. Is 19.4 a correct answer? Just ran numbers in the first circumference calculator I found http://calcurator.org/circumference-calculator/. Can I use the same formula for a sphere? What can I say ...Geometry is not my passion
 
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Perchaddition said:
Trying to calculate a circumference of a sphere from a radius of 3.09 inches. Is 19.4 a correct answer?
Yes.
Perchaddition said:
Just ran numbers in the first circumference calculator I found http://calcurator.org/circumference-calculator/. Can I use the same formula for a sphere? What can I say ...Geometry is not my passion
The circumference is always that of a circle. In the case of a sphere, it is the circumference of a great circle, circles of maximal circumference.
 
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Define circumference of a sphere.
 
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fresh_42 said:
Yes.

The circumference is always that of a circle. In the case of a sphere, it is the circumference of a great circle, circles of maximal circumference.
Thank you. Appreciate your explanation.
 

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