Practice - Standard Equation of a Circle
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the standard equation of a circle with center (0, 0) and radius 3?
💡 Hint: Remember that at the origin, the center is (0, 0).
What is the radius of a circle if the equation is (x+1)² + (y-4)² = 36?
💡 Hint: Take the square root of 36.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the standard equation of a circle represent?
💡 Hint: Think about what defines the shape of a circle.
Is the radius of a circle always a positive value?
💡 Hint: Consider the geometric definition of distance.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
A circle is tangent to the line x + y = 5 at the point (1, 4). If the center of the circle is located along the line y = -x + 3, determine the standard equation of the circle.
💡 Hint: Use the properties of tangents and distance.
Given the equation of the circle is 3x² + 3y² - 18x + 12y + 36 = 0, rewrite it in standard form and identify the center and radius.
💡 Hint: Make sure to complete the square for both x and y.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.