Mathematics Center Distance, what is the formula for Center Distance?

If there is a problem with the problem, if "r and r are the radii of the two circles, d is the distance between the centers of the circles, if they satisfy the relation r*2-r*2-2dr+d*2=0 (r>r), then the positional relationship between the two circles is", then it is tangent, process: r 2-r 2-2dr + d 2=0

r 2-2dr + d 2) - r 2 = 0 - perfect square formula.

r-d) 2-r 2=0 -- square difference formula.

r-d-r)(r-d+r)=0

So. r-d-r=0 or r-d+r=0

i.e. r-r=d or r+r=d

And because r>r

So r-r=d>0 or r+r=d>0

So two circles are cut inside or outside.

If the question is not wrong, it is intersecting.

r²+d²-2dr=r²

r-d)²=r²

r-d=±r

d=r+r or d=r-r

The positional relationship between the two circles is either inscribed or inscribed.

There should be an R in the question.

r^2+d^2-2dr=r^2

r-d)^2=r^2

d=0 to get the two circles to coincide, i.e. the two circles are concentric circles, if the right side of the equation is a small r, then r-d=r or d-r=r

d=r-r or d=r+r, i.e. the difference or sum of the two circles with a central distance equal to the radius, i.e. the two circles are tangent (inscribed or inscribed).

The formula for the centroid is: d=|ax0+by0+c|Sell (a+b).

The formula for the distance from the center of the circle to the straight line: for p(x0,y0), the distance from it to the straight line ax+by+c=0, is given by the formula d=|ax0+by0+c|a+b) indicates that the distance from the center of the circle to the chord is called the chord centroid distance.

Definition: The center distance of the circle is the distance between the centers of the two circles, referred to as the center distance of the circle.

Let the center distance of the circle of the two beams be d:

O1a is R1, O2B is R2, and D is O1O2.

O1a is R1, O2B is R2, and D is O1O2.

, the two circles are separated; , two circles are cut outward.

, the two circles intersect.

, two circles inward.

, two circles contain.

The distance from the point to the center of the circle is greater than the radius, that is, the point is outside the circle.

The distance from the point to the center of the circle is equal to the radius, that is, the point is on the circle.

The distance from the point to the center of the circle is less than the radius, that is, the point is in the circle.

The formula for the center distance is: d= [x2-x1)2+(y2-y1)2]. The circle is a special curve that is axisymmetric at the same time.

Again, a center-symmetrical figure.

The straight line of any diameter of a circle is its axis of symmetry.

The center of the circle is its center of symmetry, and any angle at which a circle rotates around the center of the circle can coincide with the original figure.

Center symmetry: In the plane, a figure is rotated 180° around a certain point, if the rotated figure coincides with another figure, then it means that the shape of the two figures is centralOfSymmetrygraph, this point is called its center of symmetry, and the two points that coincide after 180° rotation are called correspondingpoints.

Summary. Formula for the distance from the point to the center of the circle: Assuming that the coordinates of the center of the circle are (x,y) and the coordinates of the point are (x1,y1), the formula for finding the distance from the point to the center of the circle is to find the distance between two points, the distance d (x-x1) + y-y1).

The distance formula between two points is often used to find the distance between two points and the basic formula for finding the coordinates of the point in the function graph, and is one of the distance formulas.

Formula for the distance from the point to the center of the circle: assuming that the coordinates of the center of the circle are (x,y) and the coordinates of the point are (x1,y1), the formula for finding the distance from the point to the center of the circle is to find the distance between two points, the distance d (x-x1) + y-y1). The distance formula between two points is often used to find the distance between two points and the coordinates of the point in the function graph, and is one of the distance formulas.

2.The distance from the center of the circle x square + y square - 10y 0 to l: 3x 4y-5 0.

This is the distance from the point to the straight line.

The distance from the center of the circle x square + y square - 10y 0 to l: 3 x 4y-5 0 d = 3

The formula for the center distance of the inner circle is 0 d, which is the distance between the centers of the two circles, which is referred to as the center distance of the circle.

Let the centrium of the two circles (r1>r2) be d:

d>r1+r2, the two circles are separated; d=r1+r2, the two circles are inscribed; The distance from the point r1-r2 to the center of the circle is greater than the radius, that is, the point is outside the circle; The distance from the point to the center of the circle is equal to the radius, that is, the point is on the circle. The distance from the point to the center of the circle is less than the radius, that is, the point is in the circle.

Centering:The distance between the centers of two circles is referred to as the center distance. It is mostly used in the mathematical aspect of uproar, and is an academic term in mathematics.

The formula for the centroid is: d=|ax0+by0+c|Sell (a+b).

The formula for the distance from the center of the circle to the straight line: for p(x0,y0), the distance from it to the straight line ax+by+c=0, is given by the formula d=|ax0+by0+c|a+b) indicates that the distance from the center of the circle to the chord is called the chord centroid distance.

Definition: The center distance of the circle is the distance between the centers of the two circles, referred to as the center distance of the circle.

Let the center distance of the circle of the two beams be d:

O1a is R1, O2B is R2, and D is O1O2.

O1a is R1, O2B is R2, and D is O1O2.

, the two circles are separated; , two circles are cut outward.

, the two circles intersect.

, two circles inward.

, two circles contain.

The distance from the point to the center of the circle is greater than the radius, that is, the point is outside the circle.

The distance from the point to the center of the circle is equal to the radius, that is, the point is on the circle.

The distance from the point to the center of the circle is less than the radius, that is, the point is in the circle.

The formula for calculating the centroid distance is: d=r1+r2. The set of points in a plane whose distance from a fixed point is equal to the fixed length is called a circle, where the fixed point is the center of the circle.

In a plane, a closed curve formed by a moving point centered on a certain point and rotated around a certain length is called a circle. A circle has an infinite number of axes of symmetry.

A circle is a type of geometric shape. By definition, a circle is usually drawn with a compass. The diameter and length of the radius of the circle within the same circle are always the same, and the circle has an infinite number of radii and an infinite number of diameters.

A circle is an axisymmetric, center-symmetrical figure. The axis of symmetry is the straight line where the diameter is located. At the same time, the circle is a "positive infinite polygon", and "infinity" is only a concept.

When the polygon has more sides, its shape, circumference, and area are closer to a circle. So, there is no real sock in the world that is exactly a circle, and the circle is really just a conceptual figure.

You can take advantage of the two-point distance formula.

, the formula is d= [x2-x1) +y2-y1) ] If you find the distance formula from the center of the circle to the straight line, it is the distance from the center of the circle p(x0,y0) to the straight line ax+by+c=0, and the formula is d=|ax0+by0+c|a 2 + b 2), the distance from the center of the circle to the chord is called the chord centroid distance.

The relationship between the circle and the circle is as follows:

1. There is no common point, a circle outside another circle is called outside, and inside it is called inclusion.

2. If there is a single common point, a circle outside another circle is called an external incision, and an internal incision is called an internal incision.

3. There are two common points called intersection. The distance between the center of two circles is called the good beat distance of the center of the circle.

It can be found by the formula of two-point distance, the formula is d= [x2-x1) +y2-y1) ] If you find the distance formula from the center of the circle to the straight line, it is for the center of the circle p(x0, y0), which sells the distance from the center of the circle to the straight cover line ax+by+c=0, and the formula is d=|ax0+by0+c|a 2 + b 2), round.