# Ch 9: Geometry Basics for Precalculus

Watch online video lessons to learn about the formula for a circle, the Pythagorean theorem and more. Take the quizzes that follow each lesson to test your understanding of geometry basics for precalculus.

## Geometry Basics for Precalculus - Chapter Summary and Learning Objectives

Watch the videos included in this chapter to learn how the geometric theorems and formulas used to find measurements for basic shapes, like circles and triangles, can also be used to calculate the volume of cylinders and spheres. Instructors show you how some of these geometry basics apply to trigonometry as well. Lessons are designed to teach you how to:

• Graph circles and determine their area and circumference
• Calculate the distance and midpoint between two line segments
• Determine the area and perimeter of two-dimensional shapes
• Find the volume of basic three-dimensional shapes
• Solve for unknown sides of right and non-right triangles

Video Objectives
Circles: Area and Circumference Learn formulas for calculating the area and circumference of a circle. Determine the surface area and volume of a cylinder.
Graphing Circles: Identifying the Formula, Center and Radius Get tips for graphing and writing the formula for a circle.
Write the Standard Form of an Equation by Completing the Square Practice completing the square and converting a quadratic equation into standard form.
How to Use the Distance Formula Use this formula to calculate the distance between two points on a graph.
How to Use the Midpoint Formula Find out how to determine the midpoint of a line segment.
How to Solve Visualizing Geometry Problems Visualize geometry problems using hands-on and graphical approaches.
How to Calculate the Volumes of Basic Shapes Learn how to calculate the area and perimeter of two-dimensional shapes. Calculate the volume of three-dimensional shapes.
Finding Distance with the Pythagorean Theorem Use the Pythagorean theorem to solve non-right triangles.
Trigonometry and the Pythagorean Theorem Understand how trigonometric functions and the Pythagorean theorem can be used to solve right triangles.

9 Lessons in Chapter 9: Geometry Basics for Precalculus
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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