Angles in a Circle: Are They Equal?

  • Thread starter Thread starter Perplexing
  • Start date Start date
  • Tags Tags
    Angles Circle
AI Thread Summary
Angles subtended by equal chords in a circle are indeed equal, regardless of their positions on the circle. This is because the shapes created by these angles can be rotated and superimposed perfectly, demonstrating their congruence. The discussion confirms that the principle of equal angles applies to chords of the same length. Thus, different positions of equal chords yield equal angles. The question about angles subtended by equal chords is resolved affirmatively.
Perplexing
Messages
3
Reaction score
0
THis is a rather simple question and please feel free to delete it after it has been answered.

I know that in a circle, Angles Subtended by the same Segment are equal. Question: Are angles subtended by equal, yet different (different positions on the circle), euqal?

Thanks
 
Mathematics news on Phys.org
You mean drawing another chord of the same length and seeing what you get for the angle subtended ? It should be, since the shapes can be rotated and superimposed perfectly (that is, the figures are congruent).
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

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...
View full post »

Thread 'Fermat's Last Theorem'

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...
View full post »
Thread 'Imaginary Pythagorus'

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...
View full post »

Similar threads

B Constructing a Line Segment Equal to a Circle's Circumference?
Replies
6
Views
2K
I Dimension of an Angle: Clarifying the SI Standard
Replies
1
Views
2K
I Normalized Angular Rotation/Position Equations?
Replies
3
Views
2K
B Why does the trigonometry of obtuse angles use ref angles?
Replies
10
Views
2K
B Inscribing a circle in an Oblique Square (Drafting)
Replies
9
Views
1K
B Points on a Circle (moving through an obstacle)
Replies
1
Views
1K
On the same straight line there cannot be constructed two....
Replies
6
Views
1K
MHB Find angles when circumference is divided into 5 unequal parts
Replies
2
Views
3K
MHB Correspondence between Arc Lengths and Real Numbers in Trigonometry
Replies
7
Views
3K
A Binary fractal tree with equidistant leaves on a circle
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top