Last updated on August 5th, 2025
A calculator is a tool designed to perform both basic arithmetic operations and advanced calculations, such as those involving geometry. It is especially helpful for completing mathematical school projects or exploring complex mathematical concepts. In this topic, we will discuss the Area Of Octagon Calculator.
The Area Of Octagon Calculator is a tool designed for calculating the area of an octagon.
An octagon is a two-dimensional shape with eight sides.
Each side of a regular octagon is equal in length, and all interior angles are equal.
The term "octagon" comes from the Greek word "okta," meaning "eight," and "gonia," meaning "angle."
For calculating the area of an octagon using the calculator, we need to follow the steps below -
Step 1: Input: Enter the side length
Step 2: Click: Calculate Area. By doing so, the side length we have given as input will be processed
Step 3: You will see the area of the octagon in the output column
Mentioned below are some tips to help you get the right answer using the Area Of Octagon Calculator.
Know the formula: The formula for the area of a regular octagon is (2(1+√{2})s2), where ‘s’ is the side length.
Use the Right Units: Make sure the side length is in the right units, like centimeters or meters.
The answer will be in square units (like square centimeters or square meters), so it’s important to match them.
Enter Correct Numbers: When entering the side length, make sure the numbers are accurate.
Small mistakes can lead to big differences, especially with larger numbers.
Calculators mostly help us with quick solutions.
For calculating complex math questions, students must know the intricate features of a calculator.
Given below are some common mistakes and solutions to tackle these mistakes.
Help Emma find the area of a regular octagonal garden if each side is 7 m.
We find the area of the garden to be approximately 169.71 m²
To find the area, we use the formula: Area = \(2(1+\√{2})s2\)
Here, the value of ‘s’ is given as 7
Now, we substitute the value of ‘s’ in the formula: Area = \(2(1+\√{2}) \times (7)2\) ≈ 169.71 m²
The side length ‘s’ of a stop sign is 9 cm. What will be its area?
The area is approximately 392.52 cm²
To find the area, we use the formula: Area = \(2(1+\√{2})s2\)
Since the side length is given as 9, we can find the area as Area = \(2(1+\√{2}) \times (9)2\) ≈ 392.52 cm²
Find the area of a square with side length ‘s’ as 8 cm and the area of an octagon with side length 4 cm. After finding the area of the square and octagon, take their sum.
We will get the sum as approximately 148.96 cm²
For the area of a square, we use the formula ‘A = s2’, and for the octagon, we use ‘A = 2(1+\√{2})s2’.
Area of square = \(s2 = 82 = 64\) cm²
Area of octagon = \(2(1+\√{2}) \times (4)2\) ≈ 84.96 cm²
The sum of areas = area of square + area of octagon = 64 + 84.96 ≈ 148.96 cm²
The side length of a decorative octagonal mirror is 12 cm. Find its area.
We find the area of the decorative octagonal mirror to be approximately 695.69 cm²
Area = \(2(1+\√{2})s2\) = \(2(1+\√{2}) \times (12)2\) ≈ 695.69 cm²
Olivia wants to design an octagonal table top. If the side length of the table top is 15 cm, help Olivia find its area.
The area of the octagonal table top is approximately 1308.29 cm²
Area of octagonal table top = \(2(1+\√{2})s2\) = \(2(1+√{2}) \times (15)2\) ≈ 1308.29 cm²
It is measured in square meters (m²) or square centimeters (cm²).
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
: She has songs for each table which helps her to remember the tables