Items tagged with circle circle Tagged Items Feed

c1 := circle([0, 0], 1, color = red);
p2 := implicitplot(x = 1/2, x = -2 .. 2, y = -1 .. 1.1, colour = blue, linestyle = 1, thickness = 2);
display(c1, p2);

How to fill that part beetween line and circle(where x>1/2 in circle )?

Hello everyone!

I have a question that I can't seem to find a straight answer to. I need to fit a circle to a collection of points that a circular in nature. I was trying to use the following elliptical least squares fit, but I can't determine what I should be minimizing.

Here's the page:

http://www.maplesoft.com/applications/view.aspx?SID=1395&view=html

 

For an ellipse, I used the general conic:

F:=a*x^2+b*x*y+c*y^2+d*x+e*y+f

I minimize using:

V:=Minimize(E,{4*a*c-b^2=1});

 

What would I use for a circle? Or is there a better way for a circle?

"Circular segment" is the unfortunate but standard term for the region between a chord and an arc of a circle sharing the same endpoints (see http://en.wikipedia.org/wiki/Circular_segment).  I say "unfortunate" because the phrase suggests a line segment when it actually means a planar region.

I would like to plot a shaded circular segment using Maple17.  I want the endpoints of the chord & arc to be anything I please, so the chord is not necessarily horizontal, or vertical, or the diameter of the circle, etc.

At the URL

http://www.mapleprimes.com/questions/139057-Segment-Of-A-Circle

there is an image containing a shaded circular segment, but I don't see what code produced the image.  The image there includes a horizontal chord, and I don't know if the code used to produce that image can be adapted for chords that are not horizontal.

If I have to, I can plot a shaded polygon with a huge number of sides that is indistinguishable from a circular segment.  I have plotted polygons before.  But it would obviously be preferable to plot a shaded circular segment.

If there a way to plot two curves of the form r = f(theta) and shade the region between them?  This would be better than the huge-polygon approach, but not as good as a simple command for plotting a shaded circular segment, if such a command exists.

In 2D, graph a blue ellipse x(t)=3cos(t), y(t)=2sin(t) for 0≤t≤2∏. For t=0.5 graph a green tangent line to the ellipse and a red osculating circle. Also, give the curvature, the equation of the tangent line and the center of the osculating circle

I think i'm missing something easy her , but I am trying to plot a circle and cannot figure out

what I am doing wrong. The equation for the circle is:

x^2+(y-3)^2=25

I define the equation

c := x^2+(y-3)^2 = 25

Solve it for y so I should be able to plot it with plot(cplot); :

cplot:=solve(c, y)

But what I get as answer is:

3+sqrt(25-x^2), 3-sqrt(25-x^2)

The equation of the circle is part of a homework assignment,...

I can't solve probably very easy problem. How to plot a filled semicircle which is rotated across one axis by an angle alpha? I came to the solution which I don't consider as the best one (since e.g. it will not work for alpha=Pi/2*(odd integer)) and I believe someone of you will show me a better approach. Thank you in advance.

My solution:

alpha := (1/6)*Pi:
plot3d([x, y, y*tan(alpha)], x = -1 .. 1, y = 0 .. sqrt(1-x^2)*cos(alpha), axes = normal, labels = ["x", "y", "z"...

Hi,

I have succesfully created a annulus. Because I am creating a garden, I am interested in making circular shrubs in the annulus. I mean an annulus filled with small circles.  How do I do that?

I have this annulus;

display(sector([4.5, -5.5], 2.5 .. 3.5, 0 .. 2*Pi, color = "Green"), axes = none, scaling = constrained)

 

the radius of the small circles should be: (3.5-2.5=1)

Hey there, this is my first post here, so hello to everyone.

 

I have (so far) one question. I have a circle equation like

x2+y2-6y+6=0

I know, that on a paper, I can convert it to the "normal" circle equation, from which I can read the middle point and radius of the circle. And now my question is, how to convert in in maple? I am using the 11th version.

 

I have tried solving this equation and (x-a)

How can I make the 3d plot of a function such as z = 4x^2 - y^2 so that only the part of the surface above the unit circle in the xy plane is shown?

 

I need to cut a circle into equal pieces like a pizza, but how do I do this through code?

 

Also, I need to be able to find the area, angle, and arc length. Is this possible through code?

 

Thanks!

Hello.i want animate the circle of radius 2 on the parabola y=x^2-30*x in the interval [-1,2].I wrote like that =animate(plot,[[-30*t+2cos(Phi),t^2+2sin(Phi)],Phi=0..2*Pi],t=-2..1) .But it doesn't work.What is wrong?

Hi all,

 

I need to:

a) Find the equation of the sphere passing through the 4 points [- 8, 3, 11], [5, - 7, 1], [- 15, 4, - 6], [10, 2, 9].  Give the coordinates of its center and its radius.

b) Plot together the sphere of part a along with the 4 points of the dataset.

 

I can't seem to get maple to do this!  I am very frustrated as the sphere command doesn't even seem to work.  I am a total maple n00b...

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