Circle equation
(the database of solved problems)
All the problems and solutions shown below were generated using the Circle equation Calculator.
| ID |
Problem |
Count |
| 5001 | Find the center and radius of the circle $ \left(x - \frac{ 3 }{ 2 } \right)^2 + \left( y + \frac{ 1 }{ 2 } \right)^2 = 25 $. | 1 |
| 5002 | Find general equation of a circle with a center at $ \color{blue}{C = \left( 5 , 0 \right)} $ and radius $ \color{blue}{ 3 }$ | 1 |
| 5003 | Find the center and radius of the circle $ x^2 + y^2 + 2 x -35 = 0 $. | 1 |
| 5004 | Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y + 1 \right)^2 = 26 $. | 1 |
| 5005 | Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y - 7 \right)^2 = 16 $. | 1 |
| 5006 | Find the center and radius of the circle $ x^2 + y^2 + 10 x = 0 $. | 1 |
| 5007 | Find the center and radius of the circle $ \left(x - 1 \right)^2 + \left( y + 2 \right)^2 = \frac{ 10 }{ 3 } $. | 1 |
| 5008 | Find the center and radius of the circle $ x^2 + y^2 -9 = 0 $. | 1 |
| 5009 | Find the center and radius of the circle $ \left(x - 5 \right)^2 + \left( y + 1 \right)^2 = 100 $. | 1 |
| 5010 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 5 , -8 \right)} $ and radius $ \color{blue}{ 7 }$ | 1 |
| 5011 | Find the center and radius of the circle $ x^2 + y^2 -6 x -6 y + 3 = 0 $. | 1 |
| 5012 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , 4 \right)} $ and radius $ \color{blue}{ 3 }$ | 1 |
| 5013 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -1 , 0 \right)} $ and radius $ \color{blue}{ 6 }$ | 1 |
| 5014 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , 1 \right)} $ and radius $ \color{blue}{ 3 }$ | 1 |
| 5015 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 3 , -2 \right)} $ passing throught the point $ \color{blue}{ P = \left( -6 , 5 \right) } $. | 1 |
| 5016 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , 3 \right)} $ and radius $ \color{blue}{ 3 }$ | 1 |
| 5017 | Find the center and radius of the circle $ \left( x + 3 \right)^2 + \left( y + 1 \right)^2 = 25 $. | 1 |
| 5018 | Find the center and radius of the circle $ x^2 + y^2 + 4 x + 2 y + 20 = 0 $. | 1 |
| 5019 | Find the center and radius of the circle $ \left( x + 2 \right)^2 + \left( y - 2 \right)^2 = 0 $. | 1 |
| 5020 | Find the center and radius of the circle $ \left( x + 2 \right)^2 + \left( y - 2 \right)^2 = 4 $. | 1 |
| 5021 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 2 , -2 \right)} $ and radius $ \color{blue}{ 4 }$ | 1 |
| 5022 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , -5 \right)} $ and radius $ \color{blue}{ 3 }$ | 1 |
| 5023 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -5 , -3 \right)} $ and radius $ \color{blue}{ 3 }$ | 1 |
| 5024 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 1 , -3 \right)} $ and radius $ \color{blue}{ 3 }$ | 1 |
| 5025 | Find the center and radius of the circle $ \left(x - 2 \right)^2 + y^2 = 1 $. | 1 |
| 5026 | Find the center and radius of the circle $ x^2 + y^2 -4 x -6 y -23 = 0 $. | 1 |
| 5027 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( \sqrt{ 7 } , \sqrt{ 2 } \right)} $ and radius $ \color{blue}{ \sqrt{ 3 } }$ | 1 |
| 5028 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 120 , 125 \right)} $ and radius $ \color{blue}{ 120 }$ | 1 |
| 5029 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 25 , 25 \right)} $ passing throught the point $ \color{blue}{ P = \left( 11.75 , 21.3 \right) } $. | 1 |
| 5030 | | 1 |
| 5031 | Find the center and radius of the circle $ x^2 + y^2 = \frac{ 19 }{ 10 } $. | 1 |
| 5032 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -5 , 5 \right)} $ passing throught the point $ \color{blue}{ P = \left( 5 , 5 \right) } $. | 1 |
| 5033 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -6 , 2 \right)} $ passing throught the point $ \color{blue}{ P = \left( 3 , 10 \right) } $. | 1 |
| 5034 | Find the center and radius of the circle $ x^2 + y^2 -8 x + 4 y + 4 = 0 $. | 1 |
| 5035 | Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y + 2 \right)^2 = 16 $. | 1 |
| 5036 | Find the center and radius of the circle $ x^2 + y^2 -4 y -12 = 0 $. | 1 |
| 5037 | Find the center and radius of the circle $ x^2 + y^2 + 4 x -8 y -10 = 0 $. | 1 |
| 5038 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 1 , 1 \right)} $ passing throught the point $ \color{blue}{ P = \left( 0 , \frac{ 7 }{ 4 } \right) } $. | 1 |
| 5039 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 4 , -9 \right)} $ and radius $ \color{blue}{ 7 }$ | 1 |
| 5040 | Find the center and radius of the circle $ x^2 + \left( y + 1 \right)^2 = 16 $. | 1 |
| 5041 | Find the center and radius of the circle $ x^2 + y^2 -3 x + 3 y -10 = 0 $. | 1 |
| 5042 | Find the center and radius of the circle $ \left( x + 4 \right)^2 + \left( y - 1 \right)^2 = 13 $. | 1 |
| 5043 | Find the center and radius of the circle $ x^2 + y^2 + 8 x -2 y + 4 = 0 $. | 1 |
| 5044 | Find the center and radius of the circle $ \left(x - \frac{ 3 }{ 2 } \right)^2 + \left( y + 2 \right)^2 = \frac{ 25 }{ 4 } $. | 1 |
| 5045 | Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y + 3 \right)^2 = 0 $. | 1 |
| 5046 | Find the center and radius of the circle $ x^2 + y^2 -4 x +y -\frac{ 3 }{ 4 } = 0 $. | 1 |
| 5047 | Find the center and radius of the circle $ \left( x + \frac{ 1 }{ 8 } \right)^2 + y^2 = \frac{ 1 }{ 8 } $. | 1 |
| 5048 | Find the center and radius of the circle $ x^2 + y^2 + 4 x + 6 y + 12 = 0 $. | 1 |
| 5049 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -5 , 1 \right)} $ and radius $ \color{blue}{ \sqrt{ 2 } }$ | 1 |
| 5050 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -4 , -7 \right)} $ and radius $ \color{blue}{ \sqrt{ 17 } }$ | 1 |
