1) Graph the following circle:
a. Center: (3, -1), Radius: 2
b. Center: (2, 5), Radius: 3
c. Center: (-2, -4), Radius: 4
2) For each circle: Identify its center and radius.
a. Center: (-3, 1), Radius: 2
b. Center: (0, 3), Radius: √18 = 3√2 ≈ 4.24
c. Center: (-2, -8), Radius: √72 = 6√2 ≈ 8.49
3) Write the equation of the following circles:
Left graph: Center at (2, 3), Radius 4 → (x - 2)² + (y - 3)² = 16
Right graph: Center at (1, -1), Radius 3 → (x - 1)² + (y + 1)² = 9
4) Give the equation of the circle that is tangent to the y-axis and center is (-3, 2).
Radius = distance from center to y-axis = | -3 | = 3
Equation: (x + 3)² + (y - 2)² = 9
5) Compare and contrast the following pairs of circles
a. Both have radius 5. Circle #1 center (3, -1), Circle #2 center (-1, 2). Same size, different centers.
b. Circle #1: center (-7, -4), radius √6 ≈ 2.45; Circle #2: center (-7, -4), radius 6. Same center, different sizes (Circle #2 is larger).
Parent Tip: Review the logic above to help your child master the concept of graphing circles worksheet algebra 2.
