How do you factor a circle equation?
Remember that the circle formula is (x – h)2 + (y – k)2 = r2. If you end up with an equation like (x + 4)2 + (y + 5)2 = 5, you have to keep straight that h and k are subtracted in the center-radius form, so you really have (x – (–4))2 + (y – (–5))2 = 5. That is, the center is at the point (–4, –5), not at (4, 5).
How do you scale a circle?
Circle Scaling
- First draw a circle, centre O and radius of a.
- Thus, OA equals a\surd 2.
- Extend the original diameter lines to be the diameter lines for the new circle, and use the same method to form a new square MNOP which touches the new circle on WXYZ.
- Then extend AB to touch the bigger square’s side PM on G.
How do you find the scale factor of a dilation of a circle?
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.
What is a scale factor of a circle?
A scale factor exists because any two circles are similar. You can use the radii to determine the scale factor. The ratio between the radii is 31 so the scale factor is 31=3. The circumference ratio is equal to the scale factor, because circumference is a one dimensional measurement.
What is circle equation?
We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius.
What is dilation of a circle?
English. CircleA circle is the set of all points at a specific distance from a given point in two dimensions. DilationTo reduce or enlarge a figure according to a scale factor is a dilation. RadiusThe radius of a circle is the distance from the center of the circle to the edge of the circle.
What is the main factor for dilating a circle?
Since a circle consists of every point a certain distance away from the center of the circle, reflecting or rotating a circle would have no effect. Dilation To dilate a circle, we start with our standard equation: x2+y2=r2 To dilate the circle we multiply our desired factor squared into the right side of the equation.