# What is the geometry definition of a circle?

## What is the geometry definition of a circle?

A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the centre). Any interval joining a point on the circle to the centre is called a radius. By the definition of a circle, any two radii have the same length.

What is a circle simple definition?

In geometry, a circle is a perfectly round shape—meaning any point around its curve is the same distance from its central point. A circle consists of a closed curved line around a central point. Every point on the line is the same distance from the central point. This distance to the center is called the radius.

What is circle definition and example?

The definition of a circle is a curved line that is the same distance from the center all the way around and connects at the point where it began. An example of circle is a round plate. An example of circle is the earth.

### What are the properties of circle?

Circle Properties

• The circles are said to be congruent if they have equal radii.
• The diameter of a circle is the longest chord of a circle.
• Equal chords of a circle subtend equal angles at the centre.
• The radius drawn perpendicular to the chord bisects the chord.
• Circles having different radius are similar.

Which is the best definition of a circle?

Definition: A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. We use the symbol ⊙ to represent a circle.

What is a circle Class 9?

Circles class 9 – The collection of all points equidistant from a fixed point in a plane is called a circle.

#### What’s needed to define a circle?

So just as you need three points to define a triangle, you also need three points to define a circle, two points won’t do it.

What is a circle for Class 7?

A circle is a simple closed shape where all points have the same distance from the centre. The radius is the distance from the center to any point on the circle. Diameter of the circle is defined as the distance across the circle. The length of any chord passing through the center is called the diameter of the circle.

What is a circle Class 10?

Circle: A circle is a collection of all points in a plane which are at a constant distance from a fixed point. Centre: The fixed point is called the centre. Radius: The constant distance from the centre is called the radius. Chord: A line segment joining any two points on a circle is called a chord.

## What is circle shape kids?

A circle is a shape that is made up of a curved line. It’s round, and all points on the curved line are an equal distance from the center point. This shape is two-dimensional, which means it’s flat.

Why are circles important in geometry?

To the Greeks the circle was a symbol of the divine symmetry and balance in nature. Greek mathematicians were fascinated by the geometry of circles and explored their properties for centuries. Circles are still symbolically important today -they are often used to symbolize harmony and unity.

What is the definition of a circle for kids?

### What is the definition of Circle in geometry?

Definition of a circle – Geometry. The radius of a circle is the distance from the center point to any point on the edge of the circle. You can see it in the picture of the purple circle. The diameter of a circle is twice the radius. It’s the distance all the way across the circle at its widest point.

What is the difference between circle and plane geometry?

Geometry and the Circle. Let’s revisit the definition of a circle. A circle is the set of points that are equidistant from a special point in the plane. The special point is the center. In the circle to the right, the center is point A. Thus we have circle A. A plane is a flat surface that extends without end in all directions.

How do you find the geometry of a circle?

The geometry of a circle. The radius of a circle is the distance from the center point to any point on the edge of the circle. You can see it in the picture of the purple circle. The diameter of a circle is twice the radius. It’s the distance all the way across the circle at its widest point.

#### What is an equidistant circle?

A circle is the set of points that are equidistant from a special point in the plane. The special point is the center. In the circle to the right, the center is point A. Thus we have circle A. A plane is a flat surface that extends without end in all directions.