Graph Figures from Equations
Student Handout #2
Note If you need help graphing equations, graphing on a new set of axes, or animating the
parameters on a graph, read the document How to Graph an Equation in Microsoft Math.
Activity 2: Graph more circles and write their equations
1. What is the radius of the circle with equation (x+1) 2 + y2=100?
Where is the center?
Graph to verify.
2. Graph a circle that has a radius of 5 with a center of (-2, 2). What is its equation?
Activity 3: Work with irrational numbers
1. What is the radius of the circle with equation (x+2) 2 + y2=40?
What is the center of the circle?
2. Graph a circle that has a radius of
Graph to verify.
5 with a center of (-2, 2). What is its equation?
Activity 4: Write the formula or equation for a circle
(x-h) 2 + (y-k) 2 =r2 is the equation of a circle where (h,k) is the center of the circle and r is
the radius.
1. In the equation x2 + y2=1, what is h, k, and r?
2. In the equation (x-2) 2 + (y+1) 2 = 9, what is h, k, and r?
3. Write the equation of a circle with a center at (-3, 1) and a radius of 5.