How many square feet is a 14 foot octagon?

The four pieces cut off can be arranged into two squares with sides of length b feet and hence the area of the octagon is w ² - 2 b ² square feet. Since w = 12 feet, all that is needed is to find b. square feet which is approximately 119 square feet.

Considering this, how do you find the dimensions of a octagon?

Since there are as many of these triangles as the polygon has sides (eight for an octagon), you have to multiply the area of this triangle by the number of sides. You will obtain the total area of the octagon: area of octagon = 8 * base * height / 2 = perimeter * apothem / 2 .

One may also ask, how do you find the area of a octagon with a radius? Find the area of a regular octagon inscribed in a circle with radius 1 unit. Break the octagon into 8 congruent triangles. You will find the area of one triangle and multiply that by 8 to find the area of the whole octagon. Draw in the height for one of the triangles.

Also Know, how do you find the side length of an octagon with the diameter?

Multiply the diameter, which is the perpendicular length between two parallel sides, by 0.414 to calculate a side's length. For example, the diameter measures 5 inches and 5 inches multiplied by 0.414 equals 2.07 inches.

What are the dimensions of an octagon?

A regular octagon is a geometric shape with 8 equal lengths and 8 equal angles. The sum of the interior angles of a regular octagon is 1080 degrees, which makes each angle equal to 135 degrees in measure.

33 Related Question Answers Found

What is the square footage of a 12 foot octagon?

The four pieces cut off can be arranged into two squares with sides of length b feet and hence the area of the octagon is w ² - 2 b ² square feet. Since w = 12 feet, all that is needed is to find b. square feet which is approximately 119 square feet.

What is the surface area of the 8 sided figure?

What is the surface area of the 8-sided figure? 3.75 square centimeters. 6 square centimeters.

How do you make an octagon?

Create an Octagon From a Square

Step 1: Divide Into Thirds. Divide the lengths into thirds.
Step 2: Split Into 9 Squares. Draw along the markings to create 9 small squares.
Step 3: Make an Octagon in the 9 Squares. Draw lines such that the octagon can be seen in the 9 squares.
Step 4: Erase Forming the Octagon.

What is a polygon shape?

A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. The name tells you how many sides the shape has. For example, a triangle has three sides, and a quadrilateral has four sides. This is what makes a polygon.

How do you find the Apothem?

We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.

How do you find area?

To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

How do you find the surface area of a decagon?

The area of a regular decagon can be calculated using the formula for finding the area of a general regular polygon. Area of a Regular Polygon = 12 x Perimeter x Apothem. The diagram of a regular decagon ABCDEFGHIJ is given above. Just like any other regular polygon, a regular decagon can also be inscribed in a circle.

What is the area of a regular octagon with an Apothem 16 inches long?

Answer Expert Verified

A = (1/2)ap where a = the length of the apothem and p = the perimeter of the polygon. You can also use n*s in place of p where n = the number of sides of the polygon and s = the length of the side. A= (1/2)(16)(19*8) (An octagon has 8 sides.)

Are of a circle?

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

What is a octagon shape?

An octagon is a geometrical shape that contains eight sides and eight angles. Octagons must have straight sides that connect; they cannot be curved or disconnected. You will often see octagons in real life in the shape of a stop sign.

How do you make an octagon in a circle?

Procedure: Construct horizontal and vertical diameters and then bisect the quadrants of the circle to divide it into eight segments. Connect the endpoints of the four diameters to create an octagon. The number of sides of any inscribed polygon may be doubled by further bisecting the segments of the circle.

What is octagon angle?

An octagon has an interior angle sum of 1,080 degrees. All of the angles are equal in a regular octagon, so we need to divide 1,080 by 8 angles: 1,080 / 8 = 135. Each angle in an octagon measures 135 degrees.

Can a regular octagon have an area of 10?

36 units 18) Can a regular octagon have an area of 10 units²? Yes, it just wouldn't have integral length sides.

How do you find out the area of a polygon?

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

What is the formula for finding the area of an isosceles triangle?

To find the area of an isosceles triangle using the lengths of the sides, label the lengths of each side, the base, and the height if it's provided. Then, use the equation Area = ½ base times height to find the area.

How do you do area of triangles?

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

How do you find the height in a triangle?

If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.