Worksheet

Read and write the equation of a circle

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  2. Bo draws a round pizza on a grid as (x + 4)² + (y − 1)² = 9. Where is its center?

  3. Esme draws a round pond on a grid as (x − 5)² + (y − 6)² = 49. Where is its center?

    Use the picture in question 1.

  4. Jun draws a sun shape in a mural on a grid as (x + 1)² + (y + 7)² = 25. Where is its center?

    Use the picture in question 1.

  5. a circle with center C(2, 5); a radius is drawn as the long side of a right triangle under it. Kira draws a drum top on a grid as (x − 2)² + (y − 5)² = 36. How long is its radius, in units?

  6. a circle with center C(-3, 4); a radius is drawn as the long side of a right triangle under it. Luz draws a round flower bed in a park on a grid as (x + 3)² + (y − 4)² = 81. How long is its radius, in units?

  7. a circle with center C(-2, -5); a radius is drawn as the long side of a right triangle under it. Noah draws a round cake on a grid as (x + 2)² + (y + 5)² = 64. How long is its radius, in units?

  8. a circle with center C(2, -5); a radius is drawn as the long side of a right triangle under it. Pia draws a round clock face with center (2, -5) and radius 3 on a grid. Which equation is the circle?

    • (x + 2)² + (y − 5)² = 3
    • (x − 2)² + (y + 5)² = 3
    • (x − 2)² + (y + 5)² = 9
    • (x + 2)² + (y − 5)² = 9

  9. a circle with center C(-1, 4); a radius is drawn as the long side of a right triangle under it. Ren draws a round pizza with center (-1, 4) and radius 6 on a grid. Which equation is the circle?

    • (x − 1)² + (y + 4)² = 6
    • (x + 1)² + (y − 4)² = 6
    • (x + 1)² + (y − 4)² = 36
    • (x − 1)² + (y + 4)² = 36

  10. a circle with center C(3, 3); a radius is drawn as the long side of a right triangle under it. Tala draws a round pond with center (3, 3) and radius 5 on a grid. Which equation is the circle?

    • (x − 3)² + (y − 3)² = 5
    • (x − 3)² + (y − 3)² = 25
    • (x + 3)² + (y + 3)² = 5
    • (x + 3)² + (y + 3)² = 25

  11. Zee draws a sun shape in a mural with center (-6, -2) and radius 4 on a grid. Which equation is the circle?

    • (x − 6)² + (y − 2)² = 4
    • (x − 6)² + (y − 2)² = 16
    • (x + 6)² + (y + 2)² = 16
    • (x + 6)² + (y + 2)² = 4
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Read and write the equation of a circle

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

  2. Bo draws a round pizza on a grid as (x + 4)² + (y − 1)² = 9. Where is its center?

    (-4, 1)

  3. Esme draws a round pond on a grid as (x − 5)² + (y − 6)² = 49. Where is its center?

    Use the picture in question 1.

    (5, 6)

  4. Jun draws a sun shape in a mural on a grid as (x + 1)² + (y + 7)² = 25. Where is its center?

    Use the picture in question 1.

    (-1, -7)

  5. a circle with center C(2, 5); a radius is drawn as the long side of a right triangle under it. Kira draws a drum top on a grid as (x − 2)² + (y − 5)² = 36. How long is its radius, in units?

    6

  6. a circle with center C(-3, 4); a radius is drawn as the long side of a right triangle under it. Luz draws a round flower bed in a park on a grid as (x + 3)² + (y − 4)² = 81. How long is its radius, in units?

    9

  7. a circle with center C(-2, -5); a radius is drawn as the long side of a right triangle under it. Noah draws a round cake on a grid as (x + 2)² + (y + 5)² = 64. How long is its radius, in units?

    8

  8. a circle with center C(2, -5); a radius is drawn as the long side of a right triangle under it. Pia draws a round clock face with center (2, -5) and radius 3 on a grid. Which equation is the circle?

    • (x + 2)² + (y − 5)² = 3
    • (x − 2)² + (y + 5)² = 3
    • (x − 2)² + (y + 5)² = 9
    • (x + 2)² + (y − 5)² = 9

  9. a circle with center C(-1, 4); a radius is drawn as the long side of a right triangle under it. Ren draws a round pizza with center (-1, 4) and radius 6 on a grid. Which equation is the circle?

    • (x − 1)² + (y + 4)² = 6
    • (x + 1)² + (y − 4)² = 6
    • (x + 1)² + (y − 4)² = 36
    • (x − 1)² + (y + 4)² = 36

  10. a circle with center C(3, 3); a radius is drawn as the long side of a right triangle under it. Tala draws a round pond with center (3, 3) and radius 5 on a grid. Which equation is the circle?

    • (x − 3)² + (y − 3)² = 5
    • (x − 3)² + (y − 3)² = 25
    • (x + 3)² + (y + 3)² = 5
    • (x + 3)² + (y + 3)² = 25

  11. Zee draws a sun shape in a mural with center (-6, -2) and radius 4 on a grid. Which equation is the circle?

    • (x − 6)² + (y − 2)² = 4
    • (x − 6)² + (y − 2)² = 16
    • (x + 6)² + (y + 2)² = 16
    • (x + 6)² + (y + 2)² = 4