MHB -3 circles centers on line segment PQ

  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Circles Line
AI Thread Summary
The discussion centers on the geometric relationship of three circles with respect to a line segment PQ, emphasizing that conclusions should be drawn from observation rather than assumptions. It highlights that the diameters of the two smaller circles should not be assumed equal. The large circle's diameter is expressed as the sum of the segments PR and RQ, reinforcing the importance of precise calculations. Participants note that GRE diagrams often lack clarity, which can lead to incorrect assumptions. Overall, the conversation stresses careful analysis in geometric problems.
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
GRE236.pngit was done by simple observation
typos maybe,,,,

Also, posted on MeWe and Linkedin
 
Last edited:
Mathematics news on Phys.org
One should not assume the two smaller diameters are equal ...

Large circle diameter, $D = PR+RQ$

$\pi D = \pi(PR+RQ) = \pi \cdot PR + \pi \cdot RQ$
 
good point...

yes I know often the GRE diagrams are not for assumptions
so just adding as equal term is not absolute
 

Thread 'Non-orthogonal bases'

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...
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 '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 »

Similar threads

B Constructing a Line Segment Equal to a Circle's Circumference?
Replies
6
Views
2K
B Calculate distance between ends of a circle segment
Replies
22
Views
3K
B Circle tangent to two lines and another circle
Replies
2
Views
2K
MHB Adam's Circles: Splitting & Connecting Segments
Replies
6
Views
1K
MHB Find the area of the shaded region
Replies
2
Views
1K
MHB Calculate the radius of the circle
Replies
5
Views
2K
MHB [ASK] A Line Intercepting A Circle
Replies
4
Views
1K
I Relation between a circle and line in complex plane
Replies
16
Views
2K
I Geometry problem of interest with a 3-4-5 triangle
2
Replies
59
Views
2K
MHB Finding the Center of a Circle
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top