Find Diameter of Circle with 300 Bases - 3.44E-2μm

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SUMMARY

The diameter of a circle with 300 bases, each spaced 0.36nm apart, is calculated to be 3.44E-2μm. The circumference is determined by multiplying the number of bases by the distance between them, resulting in 108nm. Using the formula C = π x diameter, the diameter is derived by dividing the circumference by π, yielding a diameter of 34.4nm, which converts to 3.44E-2μm.

PREREQUISITES
  • Understanding of basic geometry concepts, specifically circles.
  • Familiarity with the mathematical constant π (pi).
  • Knowledge of unit conversions, particularly between nanometers and micrometers.
  • Ability to perform basic algebraic manipulations.
NEXT STEPS
  • Study the properties of circles and their geometric formulas.
  • Learn about unit conversion techniques, especially between nanometers and micrometers.
  • Explore the significance of π in various mathematical applications.
  • Practice solving similar problems involving circumference and diameter calculations.
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Students in mathematics or physics, educators teaching geometry, and anyone needing to understand the relationship between circumference and diameter in circular geometry.

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Homework Statement


A circle has 300 bases around it..each base being .36nm apart. What is the diameter in micrometers?


Homework Equations


C = pie x diameter


The Attempt at a Solution


.36nm x 300 bases = 108nm is the circumference

108nm = pie x diameter

108nm / pie = 34.4nm

34.4nm x .001 micrometers = 3.44E-2

correct?
 
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Bases around circles? You'll really have to be a bit more specific, for the sake of everyone who wants to help.
 

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