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Lesson Plans and Worksheets for Geometry
Lesson Plans and Worksheets for all Grades
More Lessons for Geometry
Common Core For Geometry
Student Outcomes
Recognizing Equations of Circles
Classwork
Opening Exercise
a. Express this as a trinomial: (𝑥 − 5)2.
b. Express this as a trinomial: (𝑥 + 4)2.
c. Factor the trinomial: 𝑥2 + 12𝑥 +36.
d. Complete the square to solve the following equation: 𝑥2 +6𝑥 = 40.
Example 1
The following is the equation of a circle with radius 5 and center (1, 2). Do you see why?
𝑥2 − 2𝑥 + 1 + 𝑦2 − 4𝑦 + 4 = 25
Exercise 1
Example 2
What is the center and radius of the following circle?
𝑥2 + 4𝑥 + 𝑦2 − 12𝑦 = 41
Exercises 2–4
Example 3
Could 𝑥2 + 𝑦2 + 𝐴𝑥 + 𝐵𝑦 + 𝐶 = 0 represent a circle?
Exercise 5
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