## Shop Essentials Training

Class Information
 Tooling U classes are offered at the beginner, intermediate, and advanced levels. The typical class consists of 12 to 25 lessons and will take approximately one hour to complete.
 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. Prerequisites: 800165 Difficulty: Beginner Number of Lessons: 16 Language: English, Spanish, Chinese

Below are all the competencies and job programs that contain the class Geometry: Circles and Polygons 185. Job programs are our traditional class lists organized according to common job functions. Competencies are our latest job-specific curricula that help tie online learning to practical, hands-on tasks.

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Competencies Show All

Class Outline
• Objectives
• What Is a Circle?
• 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

Class Objectives
• Define circle.
• 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.

Class Vocabulary

Vocabulary TermDefinition
The distance between two rays sharing a common endpoint or two lines that intersect. An angle has one vertex and two sides.
The angles formed within a circle. All angles in a circle add up to 360 degrees.
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.
A pattern used on some workpieces in which a series of holes are formed around an imaginary center.
An angle formed within a circle in which the center of the circle is the vertex and the sides of the angle are radii.
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.
The boundary or perimeter around a circle. Circumference measures the distance around a circle.
A polygon in which at least one of the angles is greater than 180 degrees.
A polygon in which all angles are less than 180 degrees.
The distance from one edge of the circle to the opposite end through the center. The radius is half the diameter.
A polygon with six sides.
Two lines that intersect to form a 90° angle.
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.
The point at which the tangent touches the circle.
A closed shape consisting of line segments that has at least three sides. Triangles, quadrilaterals, rectangles, and squares are all types of polygons.
A polygon with four sides.
The plural for radius. All radii on a given circle are equal in length.
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.
The relationship between two quantities expressed as a fraction.
A polygon in which all angles and sides are equal.
A half-circle. The angles of a semicircle add up to 180 degrees.
The product of multiplying a number by itself.
A line, line segment, or ray that touches a circle at exactly one point.
Another way to describe the point of tangency.
A polygon with three sides.
The point of an angle where its two sides meet.
Two angles that share the same vertex and are positioned directly opposite one another. Vertical angles are formed whenever two lines intersect.
Two angles that share the same vertex and are positioned directly opposite one another. Vertical angles are formed whenever two lines intersect.