Areas of Regular Polygons
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for the area of a regular polygon?
Back
Area = (1/2) * Perimeter * Apothem
Tags
CCSS.6.G.A.1
2.
FLASHCARD QUESTION
Front
Define 'apothem' in the context of regular polygons.
Back
The apothem is a line from the center of a regular polygon that is perpendicular to one of its sides.
3.
FLASHCARD QUESTION
Front
What is the perimeter of a regular polygon?
Back
The perimeter is the total distance around the polygon, calculated as the number of sides multiplied by the length of one side.
Tags
CCSS.3.MD.D.8
4.
FLASHCARD QUESTION
Front
How do you calculate the area of a hexagon?
Back
Area = (3√3/2) * s², where s is the length of a side.
Tags
CCSS.6.G.A.1
5.
FLASHCARD QUESTION
Front
What is the central angle of a regular polygon?
Back
The central angle is the angle formed at the center of the polygon by two adjacent vertices, calculated as 360° divided by the number of sides.
6.
FLASHCARD QUESTION
Front
If a regular polygon has 8 sides, what is the measure of each interior angle?
Back
Each interior angle = (n-2) * 180° / n = (8-2) * 180° / 8 = 135°.
7.
FLASHCARD QUESTION
Front
What is the relationship between the apothem and the radius of a regular polygon?
Back
The apothem is shorter than the radius and can be calculated using trigonometric functions based on the central angle.
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