How do you find the volume of a octagon?
Multiply the length of one side of the octagon by itself. Multiply the number you calculated in Step 1 by 4.8284. This is the area of the octagon. Multiply the area of the octagon by its depth to find its volume.
How do you find the area of an inscribed circle in an octagon?
- Side of the regular octagon =a.
- Angle subtended by the side=360⁰/8=45⁰
- The radius “R” of the inscribed circle is the altitude from the center to the side.
- Hence (a/2)/R=tan (45⁰/2)
- Hence R=a/(2tan22.5⁰)=0.818a.
- Hence area =π(0.818a)²= 2.156a²
What is the apothem of a regular octagon?
The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.
What is a formula of octagon?
If the shape is a polygon and it has eight sides, we call it an octagon. To find the area of an octagon we use the following formula. Area of octagon formula = 2 × s2 × (1+√2).
What is the formula of an octagon?
In geometry, the octagon is a polygon with 8 sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon….Octagon Formulas.
| Formulas for Octagon | |
|---|---|
| Area of an Octagon | 2a2(1+√2) |
| Perimeter of an Octagon | 8a |
What are the properties of a regular octagon?
In a regular octagon, all the sides are equal in length, and all the angles are equal in measure. The interior angles add up to 1080° and the exterior angles add up to 360°. The interior angle at each vertex of a regular octagon is 135°.
What is the area and perimeter of a regular octagon?
Perimeter of an Octagon = 8a. Area of an Octagon =. Octagon formula helps us to compute the area and perimeter of octagonal objects. Properties of a Regular Octagon: It has eight sides and eight angles. Lengths of all the sides and the measurement of all the angles are equal. The total number of diagonals in a regular octagon is 20.
What is the use of octoctagon formula?
Octagon formula helps us to compute the area and perimeter of octagonal objects. Consider a regular octagon with each side “ a” units. Area of an octagon is defined as the region occupied inside the boundary of an octagon.
How do you find the side length of an octagon?
Using basic trigonometry we may find: the side length. It turns out that these expressions are valid for any regular polygon, not just the octagon. Specific expressions for the regular octagon can be derived by setting θ = 45°, the value of the central angle.
What are the restrictions on the sides of an octagon?
While the sides of an octagon can have almost any length, the octagon angles are restricted. There is not a restriction imposed on each of the angles but on the sum of them. This is a geometric restriction since it would be impossible to join all eight sides together without following this rule.