MHB Finding distance between two adjacent objects

  • Thread starter Thread starter chr1is
  • Start date Start date
chr1is
Messages
1
Reaction score
0
I have a question:

Holes are to be drilled in a metal plate at 12 equally spaced locations around a circle with a radius of 16.40 cm. Find the distance between two adjacent holes.

How do I draw the figure? And would I have to multiply 16.40 by 2 to get the distance?
 
Mathematics news on Phys.org
One way would be to use the Law of Cosines...form an isosceles triangle using the center of the circle and two adjacent holes...you know the two equal sides of the triangle are the radius of the circle, and you know the angle subtending these sides, so you can find the third side using the Law of Cosines. You could also use the Law of Sines here as well, which would likely be computationally simpler.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Back
Top