What is the radius of a circle and what is the radius of a circle

In classical geometry, the radius of a circle or circle is any line segment from its center to its periphery, and in more modern use, it is also the length of any of them.

The name comes from the Latin radius, which means ray, and is also the spokes of a chariot. The plural of radius can be radius (Latin plural) or regular English plural radius. The typical abbreviation for radius and the name of the mathematical variable is r.

By extension, the diameter d is defined as twice the radius: d = 2r.

In classical geometry, the radius of a circle or circle is any line segment from its center to its periphery, and in more modern use, it is also the length of any of them. The name comes from the Latin radius, which means ray, and is also the spokes of a chariot.

The plural of radius can be radius (Latin plural) or regular English plural radius. The typical abbreviation for radius and the name of the mathematical variable is r. By extension, the diameter d is defined as twice the radius: d = 2r.

The line segment connecting the center of the circle to any point on the circle is called the radius of the circle, and the line segment connecting the center of the sphere to any point on the surface of the sphere is called the radius of the sphere.

The radius of the same circle or equal circle is equal.

A tangent of a circle is perpendicular to the radius that intersects it.

The radius of an identical or equal circle is half the diameter.

Circles with equal radius are equal in area.

The diameter is a segment that passes through the center of the circle and both ends are on the circumference. It is generally denoted by the letter d.

The two endpoints of the diameter are on the circle, and the center of the circle is the midpoint of the diameter. The diameter divides the circle into two parts of equal area (each part becomes a semicircle).In the same circle, the diameter is equal to twice the radius (r).

The trajectory of the midpoint of the parallel chord of the conic curve is called the diameter of the conic curve.

The diameter of a circle is the distance between two points from the center of the circle to the edge.

The radius is the direct half, which is the distance from the center of the circle to any point on the edge of the circle.

The radius of a circle is as follows: r=1 2 (d + e -4f).

The general equation of the circle.

is x +y +dx + ey+f=0(d +e -4f>0), where the coordinates of the circle are (-d 2, -e 2).

The general equation of a circle, is the knowledge of the field of mathematics. The general equation for a circle is x +y + dx + ey+f = 0 (d + e -4f >0) or can be expressed as (x + d 2) + y + e 2) = d + e -4f) 4.

Standard equation: (x-a) +y-b) =r ; In a plane straight elimination frontal coordinate system.

, there is a circle o, and the center of the circle o(a,b) point p(x,y) is any point on the circle.

Since a circle is the set of all points whose distance to the center of the circle is equal to the radius, [(x-a) +y-b) ]r squares both sides, giving i.e. (x-a) +y-b) =r.

The general equation of the circle. The radius is: r= (d + e -4f) 2.

The general equation for a circle is x + y + dx + ey+f = 0 (d + e -4f>0), where the coordinates of the center of the circle are (-d 2, -e 2).

The general equation of a circle, is the knowledge of the field of mathematics. The general equation for a circle is x +y +dx+ey+f=0 (d +e -4f>0), or it can be expressed as (x+d 2) +y+e 2) =d +e -4f) 4.

Recognition of the circle: how to draw a circle, the names and meanings of the elements of the various parts of the circle, the diameter of the circle, the characteristics of the radius and the relationship between them, the symmetry of the circle, the drawing of the ruler.

Design patterns related to circles.

The circumference of the circle: the meaning and measurement method of the circumference of the circle, pi.

The meaning of the circumference formula of the circle, the application of the circumference formula of the circle to solve practical problems.

The area of the circle. The meaning of the area of a circle with the area formula.

The derivation method of the circle, the area formula of the circle and its deformation, and the application of the area formula of the circle to solve practical problems.

The radius of the circle is r=d 2.

The radius formula is: r=d 2 and d is the diameter. Diameter refers to the distance between two points on the edge through a plane or three-dimensional disturbance of the center of the figure, usually represented by the letter "d", the straight line connecting two points on the circumference of the circle and passing through the center of the circle is called the diameter of the circle, and the straight line connecting the two points on the sphere and passing the center of the sphere is called the diameter of the sphere.

And the radius is half of the diameter, so radius = diameter *.

The nature of the circle: 1. The circle is an axisymmetric figure, and its axis of symmetry is any straight line passing through the center of the circle. A circle is also a center-symmetrical figure, and its center of symmetry is the center of the circle.

2. If the two circles intersect, then the section of the spare line (a straight line can also be a straight line) connecting the center of the two circles will bisect the common chord vertically.

3. The degree of the chord tangential angle is equal to half of the degree of the arc it clamps.

4. The degree of the inner angle of the circle is equal to half of the sum of the degrees of the arc to which the angle is opposed.

5. The degree of the outer angle of the circle is equal to half of the difference between the degrees of the two arcs truncated by this angle.

6. The circumference is equal, and the area of the circle is larger than that of a square, rectangle, and triangle.

The radius formula for a circle: r=1 2 (d2+e2-4f). The general equation of the circle.

is x2+y2+dx+ey+f=0(d2+e2-4f>0), where the coordinates of the center of the circle are (-d 2, -e 2).

The general equation of the circle.

The general equation of a circle, is the knowledge of the field of mathematics. The general equation for the perturbation cavity of a circle is x2+y2+dx+ey+f=0(d2+e2-4f>0), or it can be expressed as (x+d2)2+(y+e2)2=(d2+e2-4f) 4.

Diameter and radius.

Diameter refers to a flat figure or three-dimensional, such as a circle, a conical section, a sphere, or a cube.

The distance between the two points on the edge of the center rock is usually denoted by the letter "d". The diameter of the circle is called by the straight line that connects the two points on the circumference of the circle and passes through the center of the circle, and the diameter of the sphere is called by the straight line that connects the two points on the sphere and passes through the center of the sphere.

The radius, any line segment from its center to its periphery, is usually denoted by the letter "R", and by extension, the diameter is twice the radius, i.e. d is equal to 2R. The name radius comes from the Latin radius, which means ray, and is also the spokes of a chariot.

The formula for the radius of a circle: r=1 2 (d + e -4f).

The general equation for a circle is x + y + dx + ey+f = 0 (d + e -4f>0), where the coordinates of the center of the circle are (-d 2, -e 2).

The arc length of the sector l = the central angle (radian system) r = n r 180 ( is the central angle) (r is the radius of the fan).

The sector area s=n r 360=lr 2 (l is the arc length of the fan).

The radius of the bottom surface of the cone r=nr 360 (r is the radius of the grinding surface of the bottom cong) (n is the central angle of the circle).

Characteristics of the circle:

1. A circle has an infinite number of radii and an infinite diameter, and the length of the radius of the inner circle of the same circle is always the same.

2. The circle is axisymmetric and center-symmetrical.

3. The axis of symmetry is the straight line where the diameter is located.

4. It is a curve that is smooth and closed, the distance from each point on the circle to the center of the circle is equal, and the point with the distance r from the center of the circle is on the circle.

Question 1: What is the radius of a circle.

Question 2: What is the radius of a circle? What does it have to do with the diameter The radius is half the diameter. What can be determined by the radius, the diameter can also be determined.

Question 3: What is a pitch circle? The pitch circle is also called the pitch circle.

Definition: (1) The intersection of the section cylindrical surface and the end plane of the cylindrical gear. (2) The intersection of the cylindrical surface of the datum section and the perpendicular plane of the pulley axis.

In the gear transmission with fixed ratio, the trajectory of the node in the gear motion plane is a circle, and this circle is the pitch circle. At this time, the gear transmission can be considered that the pitch circle of the two gears is tangential and difficult to talk about pure rolling.

It can also be used to indicate that during the vibration process, the displacement of one or more circles concentric with the boundary circle on the circular plate remains zero.

As shown in the figure above, when the two gears are properly meshed, the installation center distance is the actual center distance when a pair of gears are meshed after installation, and its value is equal to the sum of the pitch circle radius of the two meshing gears, a' =r 1 '+r 2 'i.e. r 1 in the figure'、r 2 'The pitch radius of the two gears respectively.

The difference between an indexing circle and a pitch circle.

A pair of circles tangent at the nodes when the tooth grip wheel meshes the transmission. For a single gear, there is no pitch circle. And the size of the pitch circle of the two gears.

Apparently it varies with the distance between its centers.

The indexing circle of an indexing circle gear is a circle of exactly certain size, and each gear has a unique indexing circle of completely definite size, regardless of whether this gear is meshed with another gear, and regardless of the change in the center distance between the two wheels.

When a pair of gears are in the correct installation position, that is, the indexing circles of the two gears are tangent, and the indexing circle at this time is also called the pitch circle.