Radius - Examples, Exercises and Solutions

The radius is one of the many elements that exist in a circle. The radius is a segment that connects the center of the circle with any point located on the circle itself. Each circle has an infinite number of radii and their length is exactly the same, that is, they are identical.

The radius is used to calculate the diameter and perimeter of the circle, it is also used to obtain the area of the circle.

Below are several examples of different circumferences.

The colored parts are, in fact, some radii painted on each circumference:

The colored parts are, in fact, some painted radii on the circumference:

Radius

Radius_of_a_circle.2

Practice Radius

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.

In the figure we observe 3 diameters?

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #3

Is there sufficient data to determine that

GH=AB GH=AB

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #4

M is the center of the circle.

Perhaps MF=MC MF=MC

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

Yes

Exercise #5

M is the center of the circle.

Perhaps AB=CD AB=CD

MMMAAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Answer

No

Exercise #1

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

Video Solution

Answer

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

Fill in the corresponding sign

π?3.147 \pi?3.147

Video Solution

Answer

= =

Exercise #5

Fill in the corresponding sign

π?3.2 \pi?3.2

Video Solution

Answer

<

Exercise #1

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 #2

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 #3

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.

Exercise #4

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

Video Solution

Answer

No.

Exercise #5

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

Video Solution

Answer

Impossible

Topics learned in later sections

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