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What is the length of each side on a 12 foot octagon gazebo?
To calculate the length of each side of a regular octagon, you can use the formula for the side length ( s ) of a regular octagon inscribed in a circle of radius ( r ): ( s = r \times \sqrt{2 - 2 \cos(45^\circ)} ). For a 12-foot octagon, the radius is 6 feet (half the diameter). This yields a side length of approximately 4.24 feet for each side of the gazebo.
How many sizes the octagon has?
An octagon has eight sides, but it can come in various sizes depending on the length of each side. There are regular octagons, where all sides and angles are equal, and irregular octagons, which can have sides of different lengths. The size of the octagon is typically described by the length of its sides or its overall dimensions, such as the radius of its circumscribed circle.
What is the measurement of base?
The answer will depend on what measure is required: length of a side, perimeter, radius or diameter (if circular), eccentricity (if an ellipse), area.The answer will depend on what measure is required: length of a side, perimeter, radius or diameter (if circular), eccentricity (if an ellipse), area.The answer will depend on what measure is required: length of a side, perimeter, radius or diameter (if circular), eccentricity (if an ellipse), area.The answer will depend on what measure is required: length of a side, perimeter, radius or diameter (if circular), eccentricity (if an ellipse), area.
Regular octagon with apothem of 12?
Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.Yes, such an octagon can exist but it is not clear whether you want the lengths of its sides, its perimeter, or its area, or the radius of the circumcircle!
What is the perimeter of a regular octagon?
If you know a side length, s, the perimeter is 8 sIf you know the circum radius, r, (the distance from the center to a vertex) , the perimeter isp = 8 r sqrt(2 - sqrt(2)) (approx 6.12 r)If you know the apothem, a, (the distance from the center to the middle of a side),p = 16 a sqrt(2-sqrt(2))/sqrt(sqrt(2)+2) (approx 6.63 a)
Find the length of the radius of a regular quadrilateral with a perimeter of 16 cm?
A "regular quadrilateral" is a square. The word "radius" isn't used for squares (or polygons in general). To get the length of a side, divide the perimeter by 4. To get the diagonal of a square, multiply the length of a side by the square root of 2.
What is the length of each side on a 12 foot octagon gazebo?
To calculate the length of each side of a regular octagon, you can use the formula for the side length ( s ) of a regular octagon inscribed in a circle of radius ( r ): ( s = r \times \sqrt{2 - 2 \cos(45^\circ)} ). For a 12-foot octagon, the radius is 6 feet (half the diameter). This yields a side length of approximately 4.24 feet for each side of the gazebo.
What is the area of an octagon with a radius of 8?
Radii are related to circles.What do you mean by an "...octagon with a radius..."?Unless the octagon is regular it is impossible to to calculate the area of the octagon from one measurement alone.So assuming that the octagon is a regular octagon, what do you mean by radius? Do you mean:the radius of the circumcircle which passes through all verticesarea regular octagon = 8 × ½ × 8 × 8 × sin(360°/8) units² = 256 × sin(45) units²= 256 × 1/√2 units²= 128√2 units²≈ 181 units²the radius of the inscribed circle, which is the apothem of the octagonarea regular octagon = 8 × 8 × 8 × tan((360°/8)/2) units² ≈ 196 units²Something elseRe-ask your question explaining what you mean by "radius".
What is the perimeter of a regular dodecagon with a radius of 4?
24.79
How many sizes the octagon has?
An octagon has eight sides, but it can come in various sizes depending on the length of each side. There are regular octagons, where all sides and angles are equal, and irregular octagons, which can have sides of different lengths. The size of the octagon is typically described by the length of its sides or its overall dimensions, such as the radius of its circumscribed circle.
What is the measurement of base?
The answer will depend on what measure is required: length of a side, perimeter, radius or diameter (if circular), eccentricity (if an ellipse), area.The answer will depend on what measure is required: length of a side, perimeter, radius or diameter (if circular), eccentricity (if an ellipse), area.The answer will depend on what measure is required: length of a side, perimeter, radius or diameter (if circular), eccentricity (if an ellipse), area.The answer will depend on what measure is required: length of a side, perimeter, radius or diameter (if circular), eccentricity (if an ellipse), area.
Regular octagon with apothem of 12?
Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.Yes, such an octagon can exist but it is not clear whether you want the lengths of its sides, its perimeter, or its area, or the radius of the circumcircle!
What is the perimeter of a regular octagon?
If you know a side length, s, the perimeter is 8 sIf you know the circum radius, r, (the distance from the center to a vertex) , the perimeter isp = 8 r sqrt(2 - sqrt(2)) (approx 6.12 r)If you know the apothem, a, (the distance from the center to the middle of a side),p = 16 a sqrt(2-sqrt(2))/sqrt(sqrt(2)+2) (approx 6.63 a)
Determine the perimeter of a rectangle?
The formula for perimeter varies based on what object you are trying to determine the perimeter for. If you are looking for the perimeter of a perfect square you simply take the length of one side and multiply it by four. If you are looking for the perimeter of a rectangle with length (a) and width (b) you would multiple the length (a) by two and the width (b) by two and add them together. Perimeter = 2a + 2b If you are looking for the perimeter of a rectangle you add up the lengths of all the sides. To find the perimeter of a circle you multiple the radius by 2pi. pi = 3.14159265 the perimeter = 2 * 3.14159265 * r Or if you have the diameter of the circle you would just have to multiply the diameter by pi. So, perimeter = 3.14159265 * d Radius is the length of a line that goes from the middle of a circle to the edge of the circle. Diameter is the length of a line that goes from one edge of a through the middle to another edge of the circle.
What is the surface area of a 36 inch octagon?
To calculate the surface area of a regular octagon, you can use the formula: ( A = 2 \times (1 + \sqrt{2}) \times s^2 ), where ( s ) is the length of a side. For a 36-inch octagon, first find the side length. The side length ( s ) can be calculated from the circumradius ( R ) (which is half the diameter in a regular octagon) using ( s = R \times \sqrt{2} ). However, without explicit side length or circumradius, the exact surface area cannot be determined. If you assume the octagon is inscribed in a circle of radius 18 inches, the area would be approximately 1,036.68 square inches.
How do you draw the radius of a circle?
A line of any length may act as the radius of a circle. The radius is the distance from the centre to the perimeter of a circle.
How do you find the radius of a circle if you know the perimeter?
you can divide the perimeter(circumference) by pi(3.14) and then once you get your answer you divide that by two giving you the length of the radius of the circle. ex: perimeter = 34pi 34pi/pi 34/2=diameter 16=radius
