Measuring Hollow Sphere Diameter with Compass & Ruler

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SUMMARY

To measure the diameter of a hollow sphere using only a compass and a ruler, one effective method involves first measuring the radius of the sphere's interior. By placing the compass point at the center of the sphere and extending it to the inner surface, the radius can be determined. The diameter is then calculated by multiplying the radius by two. This technique ensures an accurate measurement without the need for advanced tools.

PREREQUISITES
  • Understanding of basic geometry concepts
  • Familiarity with using a compass and ruler
  • Knowledge of radius and diameter relationships
  • Ability to perform basic arithmetic calculations
NEXT STEPS
  • Research geometric properties of spheres
  • Learn about precision measurement techniques in geometry
  • Explore alternative methods for measuring diameters of irregular shapes
  • Study the principles of using compasses in geometric constructions
USEFUL FOR

Students, educators, and hobbyists interested in practical geometry, as well as anyone looking to enhance their skills in measuring and constructing geometric figures using basic tools.

jmprada
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Using only a compass and a ruler, how can we measure the diameter of a hollow sphere?
 
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jmprada said:
Using only a compass and a ruler, how can we measure the diameter of a hollow sphere?

Hi jmprada! ;)

Here's my attempt.

We use the ruler to draw a straight line on the inside of the sphere.
The line will go all the way round and form a great circle.
Repeat and draw a second great circle.
Those 2 great circles will intersect each other in 2 points.
Measure the distance between those 2 points and we have the diameter.
 

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