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.
M is the center of the circle.
Perhaps \( AB=CD \)
There are only 4 radii in a circle.
Which diagram shows a circle with a point marked in the circle and not on the circle?
Which figure shows the radius of a circle?
Is it possible that the circumference of a circle is 8 meters and its diameter is 4 meters?
M is the center of the circle.
Perhaps
CD is a diameter, since it passes through the center of the circle, meaning it is the longest segment in the circle.
AB does not pass through the center of the circle and is not a diameter, therefore it is necessarily shorter.
Therefore:
No
There are only 4 radii in a circle.
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.
False
Which diagram shows a circle with a point marked in the circle and not on the circle?
The interpretation of "in a circle" is inside the circle.
In diagrams (a) and (d) the point is on the circle, while in diagram (c) the point is outside of the circle.
Which figure shows the radius of a circle?
It is a straight line connecting the center of the circle to a point located on the circle itself.
Therefore, the diagram that fits the definition is c.
In diagram a, the line does not pass through the center, and in diagram b, it is a diameter.
Is it possible that the circumference of a circle is 8 meters and its diameter is 4 meters?
To calculate, we will use the formula:
Pi is the ratio between the circumference of the circle and the diameter of the circle.
The diameter is equal to 2 radii.
Let's substitute the given data into the formula:
Therefore, this situation is not possible.
Impossible
In which of the circles is the center of the circle marked?
Is there sufficient data to determine that
\( GH=AB \)
M is the center of the circle.
In the figure we observe 3 diameters?
M is the center of the circle.
Perhaps \( MF=MC \)
Fill in the corresponding sign
\( \pi?3.147 \)
In which of the circles is the center of the circle marked?
Is there sufficient data to determine that
No
M is the center of the circle.
In the figure we observe 3 diameters?
No
M is the center of the circle.
Perhaps
Yes
Fill in the corresponding sign
Fill in the corresponding sign
\( \pi?3.2 \)
Is it possible for a circle to have a circumference of 314.159 meters (approximately) and a diameter of 100 meters?
Is it possible for the circumference of a circle to be \( 10\pi \) if its diameter is \( 2\pi \) meters?
Is it possible for the circumference of a circle to be \( 5\pi \) meters if its diameter 5 meters?
Is it possible that a circle with a circumference of 50.6 meters has a diameter of 29 meters?
Fill in the corresponding sign
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Is it possible for a circle to have a circumference of 314.159 meters (approximately) and a diameter of 100 meters?
No.
Is it possible for the circumference of a circle to be if its diameter is meters?
No.
Is it possible for the circumference of a circle to be meters if its diameter 5 meters?
No.
Is it possible that a circle with a circumference of 50.6 meters has a diameter of 29 meters?
No.