Read and write the equation of a circle

Grade 10 Math Worksheet - Challenge Me

Circle the best answer.

1. 1.

   Ari draws a round clock face on a grid. A diameter runs from D(-2, 1) to F(4, 9). Which equation is the circle?

   • (x + 1)² + (y + 5)² = 25
   • (x − 1)² + (y − 5)² = 100
   • (x + 2)² + (y − 1)² = 100
   • (x − 1)² + (y − 5)² = 25
2. 2.

   Esme draws a round pond on a grid. A diameter runs from D(-1, 4) to F(7, 4). Which equation is the circle?

   • (x − 3)² + (y − 4)² = 16
   • (x − 3)² + (y − 4)² = 64
   • (x + 3)² + (y + 4)² = 16
   • (x + 1)² + (y − 4)² = 64
3. 3.

   Jun draws a sun shape in a mural on a grid. A diameter runs from D(0, 1) to F(2, 5). Which equation is the circle?

   • x² + (y − 1)² = 20
   • (x − 1)² + (y − 3)² = 5
   • (x − 1)² + (y − 3)² = 20
   • (x + 1)² + (y + 3)² = 5
5. 4.

   Kira draws a drum top on a grid as (x − 3)² + (y + 1)² = 16. Which inequality gives its domain (all its x-values)?

   • -7 ≤ x ≤ 1
   • -13 ≤ x ≤ 19
   • -5 ≤ x ≤ 3
   • -1 ≤ x ≤ 7
6. 5.

   Luz draws a round flower bed in a park on a grid as (x + 1)² + (y − 4)² = 25. Which inequality gives its range (all its y-values)?

   Use the picture in question 4.

   • -6 ≤ y ≤ 4
   • -21 ≤ y ≤ 29
   • -9 ≤ y ≤ 1
   • -1 ≤ y ≤ 9
7. 6.

   Milo draws a bike wheel on a grid as (x − 5)² + (y − 2)² = 9. Which inequality gives its domain (all its x-values)?

   Use the picture in question 4.

   • -8 ≤ x ≤ -2
   • -4 ≤ x ≤ 14
   • -1 ≤ x ≤ 5
   • 2 ≤ x ≤ 8
8. 7.

   Noah draws a round cake on a grid as (x + 2)² + (y + 6)² = 36. Which inequality gives its range (all its y-values)?

   Use the picture in question 4.

   • -42 ≤ y ≤ 30
   • -8 ≤ y ≤ 4
   • -12 ≤ y ≤ 0
   • 0 ≤ y ≤ 12
9. 8.

   Grid: a circle through (1, 3), (-2, 6), (-5, 3) and (-2, 0); its center is not labeled. Pia traces a round clock face on a grid. Which equation matches the drawing?

   • (x − 2)² + (y + 3)² = 9
   • (x + 2)² + (y − 3)² = 3
   • (x + 2)² + (y − 3)² = 9
   • (x − 1)² + (y − 3)² = 9
10. 9.

    Ren traces a round pizza on a grid. Which equation matches the drawing?

    • (x + 4)² + (y − 1)² = 25
    • (x − 4)² + (y + 1)² = 5
    • (x − 4)² + (y + 1)² = 25
    • (x − 9)² + (y + 1)² = 25
11. 10.

    Zee traces a sun shape in a mural on a grid. Which equation matches the drawing?

    • (x + 1)² + (y + 5)² = 4
    • (x + 3)² + (y + 5)² = 4
    • (x + 3)² + (y + 5)² = 2
    • (x − 3)² + (y − 5)² = 4