Circles in general form: complete the square and graph
Grade 10 Math Worksheet
Circle the best answer, or write your answer on the line.
Milo writes the edge of a clock face as x² + y² − 2x + 8y − 8 = 0. Which equation is the same circle in standard form?
- (x − 1)² + (y + 4)² = 8
- (x − 1)² + (y + 4)² = 25
- (x + 1)² + (y − 4)² = 25
- (x − 1)² + (y + 4)² = 5
Noah writes the edge of a pizza as x² + y² + 6x − 4y − 3 = 0. Which equation is the same circle in standard form?
Use the picture in question 1.
- (x + 3)² + (y − 2)² = 16
- (x + 3)² + (y − 2)² = 4
- (x − 3)² + (y + 2)² = 16
- (x + 3)² + (y − 2)² = 3
Pia writes the edge of a pond as x² + y² − 8x − 6y + 16 = 0. Which equation is the same circle in standard form?
Use the picture in question 1.
- (x + 4)² + (y + 3)² = 9
- (x − 4)² + (y − 3)² = -16
- (x − 4)² + (y − 3)² = 3
- (x − 4)² + (y − 3)² = 9
Ren writes the edge of a drum top as x² + y² + 10x + 2y + 10 = 0. Which equation is the same circle in standard form?
Use the picture in question 1.
- (x + 5)² + (y + 1)² = 4
- (x + 5)² + (y + 1)² = -10
- (x − 5)² + (y − 1)² = 16
- (x + 5)² + (y + 1)² = 16
Tala writes the edge of a bike wheel as x² + y² − 6x + 8y − 24 = 0. How long is the radius?
Use the picture in question 1.
Zee writes the edge of a cake as x² + y² + 12x − 16y − 21 = 0. How long is the radius?
Use the picture in question 1.
Bo writes the edge of a round flower bed as x² + y² + 16x + 12y + 36 = 0. How long is the radius?
Use the picture in question 1.
Esme starts rewriting a clock face: x² + y² − 2x + 4y = 4. To complete both squares, what total must be added to both sides?
Use the picture in question 1.
Jun starts rewriting a pizza: x² + y² + 6x − 10y = 2. To complete both squares, what total must be added to both sides?
Use the picture in question 1.
Luz starts rewriting a drum top: x² + y² + 4x + 12y = 5. To complete both squares, what total must be added to both sides?
Use the picture in question 1.