1
vote
3answers
123 views

Equation of a circle with radius and contains 2 points

Find the equation of the circle with radius $5$ and contains the points $A(-8,0)$ and $B(-4,-2)$ Hint: Equate radii. Thats the question from my midterms exam, can anyone help me finding this one, ...
2
votes
2answers
421 views

circles and linear fractional transformations

I'm realizing how little (in some respects) I know about circles. Here's something that emerged out of something I was fiddling with. My question is whether this is "well known" in the way that ...
0
votes
1answer
360 views

equation to get 10 points on circle surface at fix distance

What I tried is : $$x = \sin(36 \cdot 50 \cdot 3.14)/180$$ $$y = \cos(36 \cdot 50 \cdot 3.14)/180$$ Here $36$ is because I want 10 points on circle so $360/10=36$. $50$ is center X and center Y ...
2
votes
2answers
4k views

Find the differential equation of all circles of radius a

Can someone please post a detailed step-by-step procedure. Given the circle with a radius a, what is the differential equation of the circle.