# The Center of a Circle - Examples, Exercises and Solutions

The center of the circumference belongs to subtopics that make up the topic of the circumference and the circle. We use the concept of the center of the circumference to define the circumference itself, as well as to calculate the radius and diameter of each given circumference.

The center of the circumference, as its name indicates, is a point located in the center of the circumference. It is usually customary to mark this point with the letter O. Indeed, this point is at the same distance from each of the points that make up the circumference.

## Practice The Center of a Circle

### Exercise #1

There are only 4 radii in a circle.

### Step-by-Step Solution

A radius is a straight line that connects the center of the circle with a point on the circle itself.

False

### Exercise #2

M is the center of the circle.

Perhaps $MF=MC$

Yes

### Exercise #3

M is the center of the circle.

In the figure we observe 3 diameters?

No

### Exercise #4

M is the center of the circle.

Perhaps $AB=CD$

No

### Exercise #5

Is there sufficient data to determine that

$GH=AB$

No

### Exercise #1

In which of the circles is the center of the circle marked?

### Exercise #2

Is it possible that the circumference of a circle is 8 meters and its diameter is 4 meters?

Impossible

### Exercise #3

Perhaps $P=\pi\times EF$

Yes

### Exercise #4

M is the center of the circle.

Perhaps $CM+MD=2EM$

Yes

### Exercise #5

M is the center of the circle.

Is AB the diameter?

No

### Exercise #1

Perhaps $MF+MD=AB$

No

### Exercise #2

M is the center of the circle.

Perhaps $0.5DC=EM$

Yes

### Exercise #3

Is it possible for the circumference of a circle to be $10\pi$ if its diameter is $2\pi$ meters?

No.

### Exercise #4

Is it possible for the circumference of a circle to be $5\pi$ meters if its diameter 5 meters?

No.

### Exercise #5

Is it possible for a circle to have a circumference of 314.159 meters (approximately) and a diameter of 100 meters?

No.