Read and write the equation of a circle
Grade 10 Math Worksheet
Circle the best answer, or write your answer on the line.
Ari draws a drum top on a grid: its center is C(1, 2), and it passes through Q(4, 6). Which equation is the circle?
- (x + 1)² + (y + 2)² = 25
- (x − 1)² + (y − 2)² = 5
- (x − 1)² + (y − 2)² = 49
- (x − 1)² + (y − 2)² = 25
Bo draws a round flower bed in a park on a grid: its center is C(-2, 3), and it passes through Q(4, 11). Which equation is the circle?
- (x + 2)² + (y − 3)² = 100
- (x + 2)² + (y − 3)² = 10
- (x + 2)² + (y − 3)² = 196
- (x − 2)² + (y + 3)² = 100
Esme draws a bike wheel on a grid: its center is C(3, -1), and it passes through Q(8, 11). Which equation is the circle?
- (x − 3)² + (y + 1)² = 13
- (x + 3)² + (y − 1)² = 169
- (x − 3)² + (y + 1)² = 169
- (x − 3)² + (y + 1)² = 289
Jun draws a round cake on a grid: its center is C(-4, -4), and it passes through Q(-1, 0). Which equation is the circle?
- (x − 4)² + (y − 4)² = 25
- (x + 4)² + (y + 4)² = 49
- (x + 4)² + (y + 4)² = 5
- (x + 4)² + (y + 4)² = 25
Read this first
Grid
The circle and the point Q.
Kira draws a round clock face on a grid as (x − 2)² + (y + 1)² = 25. Is the point Q(-2, 2) on the circle, inside it or outside it?
- outside the circle
- on the circle
- inside the circle
Luz draws a round pizza on a grid as (x + 3)² + (y − 2)² = 25. Is the point Q(-5, 1) on the circle, inside it or outside it?
- on the circle
- inside the circle
- outside the circle
a circle with center C(1, -2); a radius is drawn as the long side of a right triangle under it. Pia draws a drum top on a grid as (x − 1)² + (y + 2)² = 18. Give an exact answer, simplified. How long is the radius?
a circle with center C(-3, 4); a radius is drawn as the long side of a right triangle under it. Ren draws a round flower bed in a park on a grid as (x + 3)² + (y − 4)² = 50. Give an exact answer, simplified. How long is the radius?
a circle with center C(2, 5); a radius is drawn as the long side of a right triangle under it. Tala draws a bike wheel on a grid as (x − 2)² + (y − 5)² = 12. Give an exact answer, simplified. How long is the radius?
a circle with center C(-4, -1); a radius is drawn as the long side of a right triangle under it. Zee draws a round cake on a grid as (x + 4)² + (y + 1)² = 75. Give an exact answer, simplified. How long is the radius?
