An octagon is a polygon with eight sides and eight angles. It is a two-dimensional shape that is commonly found in architecture, design, and nature.

1. **Number of Sides:** An octagon has 8 sides.

2. **Number of Angles:** An octagon has 8 angles.

3. **Sum of Interior Angles:** The sum of the interior angles of an octagon is 1080 degrees.

4. **Sum of Exterior Angles:** The sum of the exterior angles of an octagon is 360 degrees.

5. **Regular vs Irregular Octagon:** A regular octagon has all its sides and angles equal, while an irregular octagon has sides and/or angles of different lengths and measures.

1. **Perimeter of an Octagon:** If the length of each side of the octagon is equal to 'a', then the perimeter, P, of the octagon is given by the formula: P = 8a.

2. **Area of an Octagon:** The area, A, of a regular octagon with side length 'a' can be calculated using the formula: A = 2(1 + √2)a^{2}.

Here are some examples of objects that can be represented by an octagon:

- Stop signs
- Regular stop sign
- Regular nut
- Regular bolt head
- Regular washer

Now that you understand the properties and formulas related to octagons, you can practice solving problems involving octagons to reinforce your understanding.

.Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.