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

Detailed explanation

Practice Radius

Question 1

There are only 4 radii in a circle.

Question 2

Is there sufficient data to determine that

$$ GH=AB $$

Question 3

M is the center of the circle.

Perhaps $$ AB=CD $$

Question 4

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

Question 5

M is the center of the circle.

Perhaps $$ MF=MC $$

examples with solutions for 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

Is there sufficient data to determine that

$GH=AB$

Video Solution

Answer

Exercise #3

M is the center of the circle.

Perhaps $AB=CD$

Video Solution

Answer

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 $MF=MC$

Video Solution

Answer

Yes

Question 1

M is the center of the circle.

In the figure we observe 3 diameters?

Question 2

M is the center of the circle below.

$$ AB=10 $$

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

Question 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?

Question 4

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

Question 5

M is the center of the circle.

Perhaps $$ CM+MD=2EM $$