Unit 12 Lesson 5 Circles in the Coordinate Plane
Unit 12 Lesson 5: Circles in the Coordinate Plane
Lesson Overview
Circles in the Coordinate Plane
What You Will Learn
- write and graph the equation of a circle
- finding the radius and center of a circle and using it to graph the circle
Overview
In this lesson, you will learn to write and graph the equation of a circle. You will show your learning by finding the radius and center of a circle and using it to graph the circle.
Essential Understanding
The information in the circle equation allows you to graph the circle. Also, you can write the equation of a circle if you know its center and radius.
- Read Pages 525-530 in your course textbook.
This course is based on a textbook that is viewable by clicking on the textbook icon. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.
Lesson 5: Circles in the Coordinate Plane
Resource Videos
Equation of a Circle
Graphing a Circle from an Equation
Proceed to the Next Page
Prepare for Application
Instructions
You have now studied Circles in the Coordinate Plane. It is now time to demonstrate your learning.
Try the activities below on your own. You should be able to answer these before beginning the practice.
Do these activities in your journal.
Activity 1
What is the standard equation of each circle?
- center (3, 5); radius 6
- center (-2, -1); radius
Activity 2
What is the standard equation of the circle with center (4, 3) that passes through the point (-1, 1)?
Activity 3
- Refer to Problem 3 on page 800 of your textbook. What does the center of the circle represent? What does the radius represent?
- What is the center and radius of the circle with equation (x - 2)2 + (y - 3)2 = 100? Graph the circle.