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Dixie Langosh

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3y ago
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13y ago

Polygons don't have radii... the distance from the center to the midpoint of any side is called an apothem.

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Q: What is the perimeter of a regular 15-gon with a radius of 3?
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What is the perimeter of a regular hexagon with side length 3 cm?

3 cm x 6 sides = 18 cm perimeter


Area of a regular pentagon with a radius of 3 cm?

21.4


What is the perimeter of a regular pentagon with sides that are 3 ft long?

15 ft.


What is area of regular polygon with a perimeter of 20 feet and apothem of 3 feet?

0.5*apothegm*perimeter = 0.5*3*20 = 30 sq feet


What is the apothem of a regular hexagon with a radius of 8?

3 times the square root of 3


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What is the perimeter of a regular octagon with side length 3 half inches?

A regular octagon has 8 sides so if each side is 3 1/2 inches long then the perimeter is just 8*(3 1/2 inches) or 28 inches


What is the area of a regular hexagon with apothem 6?

Draw incircle and circumcircle. radius of incircle = 6 radius of circumcircle = 6 × 2/√3 = 12/√3 (side opposite to 60° is √3/2 times hypotenuse. consider right angled triangle formed by these two radius and 1/2 side of hexagon. (1/2 side)² = (12/√3)² - 6² = 12 1/2 side = √12 full side of hexagon = 2√12, perimeter = 12√12 Area = 1/2 a × perimeter = 1/2 × 6 × 12√12 = 36√12 = 72√3 unit²


The perimeter of a square with the length of 15 feet is equal to the perimeter of a regular pentagon What is the length of one side of the pentagon in yards?

A regular pentagon has a perimeter of 5s. We set this equal to 15, and solve for s, and convert to yards.5s = 15s = 33 feet converted to yards is 3/3 = 1 yard.


What is the area of a regular pentagon that has a perimeter of 50cm?

Using trigonometry and the sine rule the area of the regular 5 sided pentagon with a perimeter of 50cm works out as 172.048 square cm rounded to 3 decimal places.


What would be the area of a regular polygon with a perimeter of 20 feet and an opothem of 3 feet?

Area of regular polygon: 0.5*3*20 = 30 square feet


What is the perimeter of a regular pentagon with side lengths of 5 centimeters?

A pentagon has 5 sides. A regular pentagon has sides of all the same length. So a regular pentagon of side 5cm has a perimeter of 5 x 5cm = 25cm.