MHB How do you calculate the area and arc length of region ABCD using given values?

jevanuD
Messages
11
Reaction score
0

Attachments

  • Sector Question.JPG
    Sector Question.JPG
    19.2 KB · Views: 138
Mathematics news on Phys.org
area of region ABCD ...

$A = \dfrac{\theta}{2}\left(R^2-r^2\right)$

you have $R = 3k$, $r=2k$, and $\theta = \dfrac{3}{4}$

... proceed to solve for $k$

also, arc length difference is $\Delta s = \theta(R - r)$
 

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 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

MHB Formula to find arc radius using arc length, chord length, and/or segment angle
Replies
4
Views
5K
MHB Find radius, circumference, area and arc length in circle
Replies
2
Views
2K
MHB Find s, the arc length of a circle
Replies
8
Views
2K
MHB Calculating the length of an arc inside a circle
Replies
2
Views
3K
MHB How Can You Calculate the Area of Shaded Regions in Complex Geometric Figures?
Replies
2
Views
2K
MHB How to Solve for r and θ in a Circle's Minor Arc and Sector Area Problem?
Replies
7
Views
3K
MHB How to Calculate Arc Length for a 124° Angle in a Circle?
Replies
3
Views
2K
MHB Solving a Primary Math Problem: Find the Areas of A & C
Replies
10
Views
2K
How to calculate length of arc?
Replies
3
Views
3K
Solving Arc Problem with Given Values & Co-ordinates
Replies
12
Views
3K

Hot Threads

Recent Insights

Back
Top