What is the relationship between the center of a regular pentagon inscribed in a circle and the center of the circle?

Properties of Regular Pentagons

Interactive Video
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Mathematics
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9th - 10th Grade
•
Hard

Patricia Brown
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
They are different points.
The center of the circle is inside the pentagon.
They are the same point.
The center of the pentagon is outside the circle.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about the radius of a circle in which a regular pentagon is inscribed?
It is longer than any side of the pentagon.
It starts at the center and ends at a vertex of the pentagon.
It is shorter than any side of the pentagon.
It is equal to the apothem.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which segment is an example of a radius in the given problem?
Segment FK
Segment JH
Segment JM
Segment JF
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an apothem in the context of a regular pentagon inscribed in a circle?
A line from the center to a vertex.
A line from one vertex to another.
A line that bisects the central angle.
A line from the center to the midpoint of a side, forming a right angle.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the apothem in a regular pentagon?
It is the longest side of the pentagon.
It helps in calculating the area of the pentagon.
It divides the pentagon into two equal parts.
It is equal to the radius.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the measure of a central angle in a regular pentagon inscribed in a circle?
By subtracting the apothem from the radius.
By dividing 180 degrees by the number of sides.
By multiplying the number of sides by 72 degrees.
By dividing 360 degrees by the number of sides.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a regular pentagon is inscribed in a circle, what is the measure of each central angle?
60 degrees
72 degrees
90 degrees
108 degrees
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