Table of Contents
- 1 How do you know that all 8 sides of the octagon are congruent?
- 2 What is the area of an octagon with a radius of 8?
- 3 What type of figure has 8 congruent sides and 8 congruent angles?
- 4 How many square feet is an 8 foot octagon?
- 5 How many triangles make up an octagon?
- 6 How many congruent triangles are in a octagon?
- 7 Is a regular octagon convex or concave?
- 8 What is the top of an octagon called?
How do you know that all 8 sides of the octagon are congruent?
So, the sum of the interior angles of an octagon is 1080 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1080 degrees (from above)… And there are eight angles…
What is the area of an octagon with a radius of 8?
The area of each of the 8 congruent triangles described above is computed as about 22.6273 sq cm. This leads to octagonal area is 181.02 sq cm.
What is the formula for finding the area of an 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). Where “s” denotes the length of the side of an octagon.
What is the number of angles in a octagon?
eight angles
In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, “eight angles”) is an eight-sided polygon or 8-gon….Octagon.
| Regular octagon | |
|---|---|
| Internal angle (degrees) | 135° |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
What type of figure has 8 congruent sides and 8 congruent angles?
regular octagon
A regular octagon has eight congruent angles and eight congruent sides. Every regular octagon has the same angle measures.
How many square feet is an 8 foot octagon?
square feet which is approximately 119 square feet.
How many triangles can be formed in a octagon?
There are 6 triangles in an octagon.
What are the 8 angles?
Straight Angle – An angle that is exactly 180 degrees. Reflex Angle – An angle greater than 180 degrees and less than 360 degrees….Summary.
| Angle Type | Angle measure |
|---|---|
| Right angle | 90° |
| Obtuse angle | Greater than 90°, less than 180° |
| Straight angle | 180° |
| Reflex angle | Greater than 180°, less than 360° |
How many triangles make up an octagon?
The picture shows that the octagon is divided into 8 triangles. The sum of the angles in each of the triangles is 180^\circ. So adding up all of the angles of the eight triangles gives 8 \times 180^\circ. All of these angles give the 8 interior angles of the octagon together with the circle around the interior vertex.
How many congruent triangles are in a octagon?
Divide the octagon into 8 triangles. Each triangle has 2 sides of equal length.
What is the formula for an octagon?
Octagon Formula. Take one of the triangles and draw a line from the apex to the midpoint of the base to form a right angle. The base of the triangle is a, the side length of the polygon and OD is the height of the triangle. Area of the octagon is given as 8 x Area of Triangle.
How many diagonals does a regular octagon have?
The total number of diagonals in a regular octagon is 20. The sum of all interior angles is equal to 1080 degrees, where each interior angle measures 135 degrees. The sum of all exterior angles is equal to 360 degrees, where each exterior angle measures 45 degrees.
Is a regular octagon convex or concave?
Octagons and other polygons can also be classified as either convex or concave. If all interior angles of an octagon or polygon are less than 180°, it is convex. If one or more interior angles are larger than 180°, it is concave. A regular octagon is always a convex octagon.
What is the top of an octagon called?
In an octagon, there are 3 lines making one triangle. The bottom of the octagon is also a triangle, which makes 2 triangles. If the bottom of the octagon is also a triangle, which means the top of the octagon will also be a triangle.