Areas of Regular Polygons
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
+3
Standards-aligned
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14 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 the distance from the center of a regular polygon to the midpoint of one of its sides.
3.
FLASHCARD QUESTION
Front
How do you calculate the perimeter of a regular polygon?
Back
Perimeter = Number of sides * Length of one side.
Tags
CCSS.3.MD.D.8
4.
FLASHCARD QUESTION
Front
What is the area of a square with a side length of 10 m?
Back
Area = 10 m * 10 m = 100 m².
Tags
CCSS.3.MD.C.7B
CCSS.4.MD.A.3
5.
FLASHCARD QUESTION
Front
If a regular hexagon has a side length of 6 cm, what is its area?
Back
Area = (3√3/2) * (side length)² = (3√3/2) * (6 cm)² = 54√3 cm².
Tags
CCSS.6.G.A.1
6.
FLASHCARD QUESTION
Front
What is the relationship between the apothem and the area of a regular polygon?
Back
The area can be calculated using the apothem and the perimeter: Area = (1/2) * Perimeter * Apothem.
Tags
CCSS.6.G.A.1
7.
FLASHCARD QUESTION
Front
Find the area of a regular pentagon with a side length of 5 cm and an apothem of 4.5 cm.
Back
Area = (1/2) * Perimeter * Apothem = (1/2) * (5 cm * 5) * 4.5 cm = 56.25 cm².
Tags
CCSS.6.G.A.1
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