Diameter - Examples, Exercises and Solutions

A diameter is a section that connects two points that lie on the circumference, that passes through the center of the circle. The diameter is actually twice the radius.

As in the case of the radius, as well as in the case of the diameter, there are an infinite number of diameters on the circumference, and all are identical in length.

Below is an example of a circle with several diameters marked in different colors.

Diameter

Practice Diameter

examples with solutions for diameter

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

Is there sufficient data to determine that

GH=AB GH=AB

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #3

M is the center of the circle.

Perhaps AB=CD AB=CD

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #4

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

Video Solution

Answer

Exercise #5

M is the center of the circle.

Perhaps MF=MC MF=MC

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

examples with solutions for diameter

Exercise #1

M is the center of the circle.

In the figure we observe 3 diameters?

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #2

M is the center of the circle below.

AB=10 AB=10

Can a chord with a length of 15 cm be drawn in the circle?

101010MMMBBBAAA

Video Solution

Answer

No

Exercise #3

M is the center of the circle shown below.

AB is a chord in the circle and is 8 long.

Which of the options is a reasonable length for circle's diameter?

888MMMBBBAAA

Video Solution

Answer

16 16

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

M is the center of the circle.

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

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

examples with solutions for diameter

Exercise #1

Perhaps MF+MD=AB MF+MD=AB

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #2

M is the center of the circle.

Is AB the diameter?

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #3

M is the center of the circle.

Perhaps 0.5DC=EM 0.5DC=EM

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

Exercise #4

Perhaps P=π×EF P=\pi\times EF

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

Exercise #5

Is it possible that a circle with a circumference of 50.6 meters has a diameter of 29 meters?

Video Solution

Answer

No.

Topics learned in later sections

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