What is center-radius form?

What is center-radius form?

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being “r”. This form of the equation is helpful, since you can easily find the center and the radius.

How do you write the equation of a circle given its radius if the center is at the origin?

If the center of a circle is (0, 0), then the equation of the circle is of the form x^2+y^2=r^2, where r is the radius.

What is the radius and center?

The center is a fixed point in the middle of the circle; usually given the general coordinates (h, k). The fixed distance from the center to any point on the circle is called the radius.

How do you write center radius form?

The center-radius form of the equation of a circle is:

1. (x−h)2+(y−k)2=r2.
2. (x−0)2+(y−(−2))2=62.
3. x2+(y+2)2=36.

How do you write equation of a circle given its radius and its center at the origin What about if the center is at HK?

The equation of a circle with center (h,k) and radius r is given by (x−h)2+(y−k)2=r2 . For a circle centered at the origin, this becomes the more familiar equation x2+y2=r2 .

What is the radius of a circle whose equation is x2 y2 8x?

5units
The radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0 is 5units.

What is the radius of a circle whose equation is x2 plus y2 plus 8x minus 6y +21 equals zero?

units
The problem statement requires finding the radius of the circle of the equation x2 + y2 + 8x – 6y + 21 = 0 units. The radius calculated is 2 units.

How to plot a circle with radius r?

Here is a MATLAB function that plots a circle with radius ‘r’ and locates the center at the coordinates ‘x’ and ‘y’: function h = circle(x,y,r) hold on th = 0:pi/50:2*pi; xunit = r * cos(th) + x; yunit = r * sin(th) + y; h = plot(xunit, yunit); hold off

How do you plot a circle given two points?

If you would like to plot a circle given two points [Center, Point on circle], rather than [Center, Radius], you can simply calculate the distance between your two points, and then use that distance as the radius. Sign in to comment.

Can you draw a circle on a computer screen?

It is not easy to display a continuous smooth arc on the computer screen as our computer screen is made of pixels organized in matrix form. So, to draw a circle on a computer screen we should always choose the nearest pixels from a printed pixel so as they could form an arc.

What’s the best way to approximate a circle?

Another possibility is to approximate the circle using a polyshape with a large number of sides and plot that polyshape. An object moves on a circle of radius 1.