Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
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 mock test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
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).
Question 2
Easy
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.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the standard equation of a circle represent?
- Area of a circle
- Perimeter of a circle
- All points equidistant from center
💡 Hint: Think about what defines the shape of a circle.
Question 2
Is the radius of a circle always a positive value?
- True
- False
💡 Hint: Consider the geometric definition of distance.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation