Circle - Examples, Exercises and Solutions

The circle is actually the inner part of the circumference, i.e., the enclosed area inside the circle frame.

Below are some examples of circles with different circumferences. The colored part in each represents the circle:

examples of circles with different circumferences.

Practice 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

In which of the circles is the segment drawn the radius?

Video Solution

Answer

Exercise #1

Is there sufficient data to determine that

GH=AB GH=AB

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #2

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

Video Solution

Answer

Exercise #3

In which of the circles is the point marked in the circle and not on the circumference?

Video Solution

Answer

Exercise #4

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

Video Solution

Answer

Impossible

Exercise #5

Perhaps P=π×EF P=\pi\times EF

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

Exercise #1

M is the center of the circle.

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

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

Exercise #2

M is the center of the circle.

Is AB the diameter?

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #3

Perhaps MF+MD=AB MF+MD=AB

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #4

M is the center of the circle.

Perhaps 0.5DC=EM 0.5DC=EM

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

Exercise #5

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.

Topics learned in later sections

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