The area the octagon is defined as the complete amount of area the is fastened by all octa(eight) political parties of the octagon. Octagon is an eight-sided polygon. The area the the octagon can be calculation by diving it into 8 equal isosceles triangles. In this mini-lesson, us will talk about the area of the octagon in detail.

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1.What Is the Area of Octagon?
2.How to calculate Area of Octagon?
3.FAQs on Area that Octagon

We already read that octagon is a 2-dimensional form with 8 sides. The area the the octagon is the area the is within the eight political parties of the octagon. To calculation the area that the octagon we can use the area of an isosceles triangle. We divide the area that the octagon right into eight equal isosceles triangles and calculate the accordingly.

The basic formula we usage to calculate the area of the octagon is:

Area that Octagon Formula

2s2(1+√2), where s is the length of the side of the octagon.

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The area of one octagon is 2s2(1+√2). By making use of the following steps mentioned listed below we can discover the area of the octagon.

Step 1: calculate the length of the next of the octagon.Step 2: find the square that the length of the side.Step 3: uncover out the product of the square of its size to 2(1+√2). This will offer the area the the octagon.Step 4: by substituting the corresponding values in the area of an octagon formula 2s2(1+√2) us will gain the answer.Step 5: represent the prize in square units.

Solved instances on Area of Octagon


Example 1: discover the area the the octagon if the size of the side of the octagon is 14 in.

Solution

Length of the side, s = 14 in

Using the formula for the area that the octagon,

A = 2s2(1+√2)

A = 2 ×142(1+√2)

A = 946.37

Therefore, the area that the octagon is 946.37 square inches.


Example 2: Walter was given an area of one octagon together 25.54 devices square. Have the right to you aid him find the length of the next of the octagon?

Solution

Area the the octagon, A = 25.54 devices square.

Using the formula for the area of the octagon,

A = 2s2(1+√2)

25.54 = 2 × s2(1+√2)

s = 2.3 units

Therefore, the length of the next of the octagon is 2.3 units.


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Practice inquiries on Area that Octagon


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FAQs top top Area the Octagon


What Is the general Formula that Area that Octagon?

If the shape is a polygon and also it has eight sides, we contact it one octagon. To uncover the area of an octagon we usage the adhering to formula. Area of octagon formula = 2 × s2 × (1+√2). Whereby "s" denotes the size of the side of an octagon.

What Is the Area of one Octagon v an Apothem?

Apothem is the heat segment drawn perpendicular to the side of the octagon indigenous the center of the octagon. The area of an octagon v an apothem of size l is 8l2(√2-1).

What Is the Area of one Octagon with a Radius?

The area of an octagon through a radius of length r is 2√2r2. Whereby "r" is the radius of an octagon.

What Is the Area of one Octagon with Side size "a"?

The area of an octagon through side length a is 2a2(1+√2). Wherein "a" denotes the size of the side of one octagon.

See more: What Is A Horse Pen Called, Building A Round Pen On Your Horse Property

What is the Area of one Octagon with Side 5 units?

Area of octagon = 2s2(1+√2)= 2×52(1+√2)= 120.7 units2Area of the octagon is 120.7 units2.


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