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What is the definition of point of tangency?

The point at which the tangent touches the circle.

Learn more about point of tangency in the class "Geometry: Circles and Polygons 185" below.

Geometry: Circles and Polygons 185

Shop Essentials Department

Class Information

Tooling U classes are offered at the beginner, intermediate, and advanced levels.
The typical class consists of 12 to 25 lessons and typically requires at least two hours of instruction time.

Class Name	Geometry: Circles and Polygons 185
Description	This class explains basic circle and polygon geometry and how to apply it to sample shop drawings.
Prerequisites	800165
Difficulty	Beginner
Number of Lessons	16

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Class Outline

Class Objectives

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

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.

Class 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	A polygon with four equal sides.
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.

What is the definition of point of tangency?

The point at which the tangent touches the circle.Learn more about point of tangency in the class "Geometry: Circles and Polygons 185" below.

Geometry: Circles and Polygons 185

Shop Essentials Department

The point at which the tangent touches the circle.

Learn more about point of tangency in the class "Geometry: Circles and Polygons 185" below.