# What are two or more circles with the same radius?

## What are two or more circles with the same radius?

Two or more circles that have the same center, but different radii are known as concentric circles. Two or more circles with the same radius, but different centers are known as congruent circles.

Step-by-step explanation: If two figures have same shape and size then they are called congruent figures. In case of circles, if two circles have same radius, diameter and shape then the circles are congruent. Therefore, we can conclude that the circles having equal radii are congruent circles.

What is the same about the two circles?

Because a circle is defined by its center and radius, if two circles have the same center and radius then they are the same circle. This proves that in general, all circles are similar.

### Do all circles have the same shape?

All circles have the same shape i.e. they are round. But the size of a circle may vary. Thus circles are similar. Each circle has a different radius so the size of the circle may vary.

### What does congruent circles mean?

Congruent circles are circles that are equal in terms of radius, diameter, circumference and surface area.

Are two circles with the same center congruent?

Two circles are congruent if their centers are the same. If two spheres have the same center but different radii, they are called concentric spheres. Find the length of the diameter of circle C.

## How do I prove two circles are similar?

Take any two circles, and slap some Cartesian Coordinates on them, such that the first is at the origin. Translate the second circle to the origin, then dilate it until the radii match. Thus the pair of circles is similar.

## Are all circles similar or congruent?

We know that congruent means the same shape but different size. Different circles may have the same or different sizes. All circles are both similar and congruent. The diameter of the circle divides it into two equal parts.

Is all circles are similar or congruent?

We know that congruent means the same shape but different size. Different circles may have the same or different sizes. All circles are both similar and congruent.

### How do you know if two circles are similar?

Because a circle is defined by its center and radius, if two circles have the same center and radius then they are the same circle.

### Are 2 circles always congruent?

All circles have the same shape which means they are round. We know that congruent means the same shape but different size. Different circles may have the same or different sizes. All circles are always similar but not congruent.