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## Class Details

- Class Name:
- Geometry: Circles and Polygons 185
- Description:
- This class explains basic circle and polygon geometry and how their features are used to find dimensions in sample shop drawings.
- Version:
- 1.0
- Difficulty:
- Beginner
- Number of Lessons:
- 16
- Additional Language:
- Spanish, Chinese
- Related 2.0 Class:
- Geometry: Circles and Polygons 171

## Class Outline

- Objectives
- What Is a Circle?
- Radius and Diameter
- Circumference
- Area of a Circle
- Angles and Circles
- Angles and Circles: Sample Problem
- Angles and Circles: Solution
- Tangents
- Tangents: Sample Problem
- Sample Tangent Problem: Solution
- What Is a Polygon?
- Types of Polygons
- Interior Angles
- Polygons: A Sample Problem
- Summary

## Objectives

- Define circle.
- Define radius.
- Define diameter.
- Calculate the circumference of a circle using the value of pi.
- Calculate the area of a circle using the value of pi.
- Describe the relationship of all central angles within a circle.
- Distinguish between essential and nonessential information for solving a problem using circle geometry.
- Solve for missing angles in a sample bolt hole pattern.
- Define tangent.
- Distinguish between essential and nonessential information for solving a problem using a tangent.
- Solve for a missing angle in a sample tangent problem.
- Define polygon.
- List types of polygons.
- Calculate the sum of the interior angles for a sample polygon.
- Solve for a missing interior angle in a sample polygon problem.

## Job Roles

- Assembly Mechanic
- Master Mechanic
- Autoclave Technician
- Automated Fiber Placement / Automated Tape Layup
- Composite Fundamentals
- Composite Repair Technician
- Composites Cutter and Kitting
- Filament Winding Operator
- Hot Press / Compression Mold Operator
- Infusion Operator
- Manual Layup Technician
- Manual Sprayup Technician
- Pultrusion Operator
- Trim, Drill and Finishing Technician
- Engineer
- Die Maker
- Electron Beam Welding Operator
- Fundamentals
- Hydroforming Operator
- Laser Cutter Operator
- Laser Welding Operator
- Lead Press Operator/Setup
- Press Brake Operator
- Roll Forming Operator
- Stamping Press Operator
- Tube/Bar Bending Operator
- Waterjet Operator
- CNC Programmer
- Grinding Technician
- Lathe Operator
- Machining Fundamentals
- Mill Operator
- Production Grinder
- Production Machinist
- Quality Technician
- Toolmaker / Diemaker
- Waterjet Operator
- Wire EDM Operator
- Automation (Motion Control, Robotics) Technician
- Electrical Maintenance Technician
- Fluid Systems Technician
- Mechanical Maintenance Technician
- Blow Mold Material Handler
- Blow Mold Operator
- Blow Mold Setup Person
- Blow Mold Technician
- Compression Mold Material Handler
- Compression Mold Operator
- Compression Mold Setup Person
- Compression Mold Technician
- Extrusion Material Handler
- Extrusion Operator
- Extrusion Setup Person
- Extrusion Technician
- Fundamentals
- Injection Mold Material Handler
- Injection Mold Operator
- Injection Mold Setup Person
- Mold Maker

## Certifications

SME- CMfgT

- CNC Lathe Operations
- CNC Milling Operations
- Job Planning, Benchwork, & Layout I
- Metalforming I
- Milling I

- MSSC Quality Practices and Measurement

## Glossary

Vocabulary Term | Definition |
---|---|

angle | The distance between two rays sharing a common endpoint or two lines that intersect. An angle has one vertex and two sides. |

angles of a circle | The angles formed within a circle. All angles in a circle add up to 360 degrees. |

area | The size of the space contained within an enclosed two-dimensional figure. Area is typically measured in square units such as square inches or square centimeters. |

bolt hole pattern | A pattern used on some workpieces in which a series of holes are formed around an imaginary center. |

central angle | An angle formed within a circle in which the center of the circle is the vertex and the sides of the angle are radii. |

circle | The figure formed by the group of points that are an equal distance from a point, or center. The angles of a circle add up to 360 degrees. |

circumference | The boundary or perimeter around a circle. Circumference measures the distance around a circle. |

concave polygon | A polygon in which at least one of the angles is greater than 180 degrees. |

convex polygon | A polygon in which all angles are less than 180 degrees. |

diameter | The distance from one edge of the circle to the opposite end through the center. The radius is half the diameter. |

hexagon | A polygon with six sides. |

perpendicular | Two lines that intersect to form a 90° angle. |

pi | A special constant value that relates the diameter of a circle to its circumference. Pi, roughly 3.14, is used to find the circumference and area of a circle. |

point of tangency | The point at which the tangent touches the circle. |

polygon | A closed shape consisting of line segments that has at least three sides. Triangles, quadrilaterals, rectangles, and squares are all types of polygons. |

quadrilateral | A polygon with four sides. |

radii | The plural for radius. All radii on a given circle are equal in length. |

radius | The distance from the center to the edge of a circle. If you multiply the radius of a circle by two, the result is the diameter. |

ratio | The relationship between two quantities expressed as a fraction. |

regular polygon | A polygon in which all angles and sides are equal. |

semicircle | A half-circle. The angles of a semicircle add up to 180 degrees. |

square | The product of multiplying a number by itself. |

tangent | A line, line segment, or ray that touches a circle at exactly one point. |

tangent point | Another way to describe the point of tangency. |

triangle | A polygon with three sides. |

vertex | The point of an angle where its two sides meet. |

vertical angle | Two angles that share the same vertex and are positioned directly opposite one another. Vertical angles are formed whenever two lines intersect. |

vertical angles | Two angles that share the same vertex and are positioned directly opposite one another. Vertical angles are formed whenever two lines intersect. |