#### How to find the center of a circle from an equation

## How do you find the center and radius of a circle?

The General Form of the equation of a circle is x^{2} + y^{2} + 2gx +2fy + c = 0. The centre of the circle is (-g, -f) and the radius is √(g^{2} + f^{2} – c). Given a circle in the general form you can complete the square to change it into the standard form. More on this can be found on the Quadratic Equations page Here.

## How do you find the equation of a circle with the center and a point?

The formula for the equation of a circle is (x – h)^{2}+ (y – k)^{2} = r^{2}, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

## How do we find the center of a circle?

How to Find the Center of a CircleStep 1: Draw a Chord Across the Circle. Draw a line across the circle near the edge so it cuts the circumference in two places. Step 2: Find the Mid Point of the Chord. Draw a line perpendicular to the chord, half way along it’s length. Step 3: Repeat Step 2 for Another Chord. Step 4: Use More Chords for Accuracy.

## How do you find the standard form of a circle?

The standard form of a circle’s equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

## What is the center of a circle?

The center of a circle is the point equidistant from the points on the edge. Similarly the center of a sphere is the point equidistant from the points on the surface, and the center of a line segment is the midpoint of the two ends.

## What is the center of a circle called?

The center of a circle is also called the focus of the circle.

## How do you find the center of anything?

Square or RectangleUse a straight object.put the straight object across the two opposite corners.draw a faint line.Do the same of the opposite corners.the intersection of the lines is the center.

## How do you find the center of a circle in standard form?

The center-radius form of the circle equation is in the format (x – h)^{2} + (y – k)^{2} = r^{2}, 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.