
Area of regular polygons int math 2
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the formula for the area of a regular polygon?
Back
The area (A) of a regular polygon can be calculated using the formula: A = (1/2) * Perimeter * Apothem.
Tags
CCSS.6.G.A.1
2.
FLASHCARD QUESTION
Front
Define a regular polygon.
Back
A regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
Tags
CCSS.2.G.A.1
3.
FLASHCARD QUESTION
Front
What is the area of a regular hexagon with a side length of 4 cm?
Back
The area of a regular hexagon can be calculated using the formula: A = (3√3/2) * s², where s is the side length. For s = 4 cm, A = (3√3/2) * 4² = 48√3 cm², approximately 83.14 cm².
Tags
CCSS.6.G.A.1
4.
FLASHCARD QUESTION
Front
How do you find the perimeter of a regular polygon?
Back
The perimeter (P) of a regular polygon can be found by multiplying the number of sides (n) by the length of one side (s): P = n * s.
Tags
CCSS.3.MD.D.8
5.
FLASHCARD QUESTION
Front
What is the area of a regular octagon with a side length of 5 cm?
Back
The area of a regular octagon can be calculated using the formula: A = 2 * (1 + √2) * s². For s = 5 cm, A = 2 * (1 + √2) * 5² = 50(1 + √2) cm², approximately 50 * 2.414 = 120.7 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 apothem is the perpendicular distance from the center of the polygon to a side. It is used in the area formula: A = (1/2) * Perimeter * Apothem.
Tags
CCSS.6.G.A.1
7.
FLASHCARD QUESTION
Front
Calculate the area of a regular pentagon with a side length of 6 cm.
Back
The area of a regular pentagon can be calculated using the formula: A = (1/4) * √(5(5 + 2√5)) * s². For s = 6 cm, A = (1/4) * √(5(5 + 2√5)) * 6² = approximately 61.62 cm².
Tags
CCSS.6.G.A.1
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