2. Coordinate Geometry
Circle Geometry — Quiz
Test your understanding of circle geometry with 5 practice questions.
Practice Questions
Question 1
A circle has the equation $(x - 5)^2 + (y + 1)^2 = 100$. What is the circumference of this circle?
Question 2
The equation of a circle is $x^2 + y^2 + 2x - 4y - 4 = 0$. What are the coordinates of its center and its radius?
Question 3
A line has the equation $y = x + 5$. If this line is tangent to the circle $x^2 + y^2 = r^2$ at the point $( -3, 2)$, what is the radius $r$ of the circle?
Question 4
A circle has its center at $( -2, 3)$ and is tangent to the line $y = 7$. What is the equation of this circle?
Question 5
What is the length of the common chord of the circles $x^2 + y^2 = 25$ and $(x - 6)^2 + y^2 = 25$?