MHB Diagram: Construct Circle w/ 9 Equal Parts

Albert1
Messages
1,221
Reaction score
0
divide a circle into 9 parts with equal area
 
Last edited:
Mathematics news on Phys.org
Albert said:
divide a circle into 9 parts with equal area
my solution:
construct two circles with the same center $O$
the bigger circle with radius $9k$
the smaller circle with radius $3k$
$(k>0)$
$A=$ the area inside and on the big circle
$B=$ the area inside and on the small circle=$\dfrac {A}{9}$
$C=$( the area inside $A$ and ouside $B)$=$\dfrac {8A}{9}=A-B$
divide $C$ into eight parts with equal area
each part will have area $\dfrac {8A}{9}\times \dfrac {1}{8}=\dfrac {A}{9}$=area of $B$
 
Last edited:
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
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...
Back
Top