Pentagon
A pentagon is a polygon with five sides and five angles. In a regular pentagon, all sides and angles are equal.
Properties of a Pentagon
- Number of Sides: A pentagon has 5 sides.
- Number of Angles: A pentagon has 5 angles.
- Sum of Interior Angles: The sum of the interior angles of a pentagon is 540 degrees.
- Sum of Exterior Angles: The sum of the exterior angles of a pentagon is always 360 degrees.
- Types of Pentagons: There are regular and irregular pentagons. In a regular pentagon, all sides and angles are equal, while in an irregular pentagon, the sides and angles can have different measures.
Formulas for a Regular Pentagon
For a regular pentagon:
- Perimeter: P = 5 * s (where s is the length of each side)
- Interior Angle: A = 108°
- Apotem: a = s / (2 * tan(π/5))
- Area: A = (5/2) * a * s (where a is the apotem)
Practice Questions
- Calculate the perimeter of a regular pentagon with each side measuring 8 cm.
- Find the measure of each interior angle of a regular pentagon.
- Determine the area of a regular pentagon with a side length of 10 cm.
By understanding the properties and formulas of a pentagon, you can solve problems and calculations related to this geometric shape.
.◂Math Worksheets and Study Guides Sixth Grade. Whole Numbers to Trillions
Study Guide
Whole Numbers to Trillions 
Worksheet/Answer key
Whole Numbers to Trillions Worksheet/Answer key
Whole Numbers to Trillions Worksheet/Answer key
Whole Numbers to Trillions Worksheet/Answer key
Whole numbers
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
STAAR Grade 6 Mathematics Assessment
Underlying Processes and Mathematical Tools: These skills will not be listed under a separate recording category. Instead, they will be incorporated into at least 75% of the test questions in reporting categories 1-5 and will be identified along with content standards.
Underlying processes and mathematical tools. The student communicates about Grade 6 mathematics through informal and mathematical language, representations, and models. The student is expected to:
Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models. (STAAR)