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.

P1 - The center of 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.

Therefore, the answer is incorrect, as there are infinite radii.

Answer

False

Exercise #2

M is the center of the circle.

Perhaps MF=MC MF=MC

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

Exercise #3

M is the center of the circle.

In the figure we observe 3 diameters?

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #4

M is the center of the circle.

Perhaps AB=CD AB=CD

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #5

Is there sufficient data to determine that

GH=AB GH=AB

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #1

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

Video Solution

Answer

Exercise #2

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

Video Solution

Answer

Impossible

Exercise #3

Perhaps P=π×EF P=\pi\times EF

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

Exercise #4

M is the center of the circle.

Perhaps CM+MD=2EM CM+MD=2EM

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

Exercise #5

M is the center of the circle.

Is AB the diameter?

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #1

Perhaps MF+MD=AB MF+MD=AB

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #2

M is the center of the circle.

Perhaps 0.5DC=EM 0.5DC=EM

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

Exercise #3

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

Video Solution

Answer

No.

Exercise #4

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

Video Solution

Answer

No.

Exercise #5

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

Video Solution

Answer

No.

Topics learned in later sections

  1. Circle
  2. Diameter
  3. The Circumference of a Circle
  4. Radius
  5. How is the radius calculated using its circumference?
  6. Perimeter
  7. Area
  8. Area of a circle