Circle equation
(the database of solved problems)
All the problems and solutions shown below were generated using the Circle equation Calculator.
| ID |
Problem |
Count |
| 3101 | Find the center and radius of the circle $ \left( x + 3 \right)^2 + \left( y + 6 \right)^2 = 0 $. | 2 |
| 3102 | Find the center and radius of the circle $ x^2 + y^2 -3 x + 4 y + 2 = 0 $. | 2 |
| 3103 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ and radius $ \color{blue}{ \frac{ 9 }{ 5 } }$ | 2 |
| 3104 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , 9 \right)} $ and radius $ \color{blue}{ \frac{ 12 }{ 11 } }$ | 2 |
| 3105 | Find the center and radius of the circle $ \left( x + 1 \right)^2 + \left( y - 1 \right)^2 = 64 $. | 2 |
| 3106 | Find the center and radius of the circle $ \left( x + 2 \right)^2 + \left( y + 1 \right)^2 = 10 $. | 2 |
| 3107 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , 3 \right)} $ passing throught the point $ \color{blue}{ P = \left( 0 , 5 \right) } $. | 2 |
| 3108 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 4 , 8 \right)} $ and radius $ \color{blue}{ 3 }$ | 2 |
| 3109 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , -6 \right)} $ and radius $ \color{blue}{ 8 }$ | 2 |
| 3110 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -\frac{ 5 }{ 4 } , -\frac{ 1 }{ 2 } \right)} $ and radius $ \color{blue}{ \sqrt{ \frac{ 4923 }{ 10 } } }$ | 2 |
| 3111 | Find the center and radius of the circle $ \left( x + 7 \right)^2 + \left( y + 5 \right)^2 = 100 $. | 2 |
| 3112 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ and radius $ \color{blue}{ \sqrt{ 5 } }$ | 2 |
| 3113 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 3 , 0 \right)} $ and radius $ \color{blue}{ 3 \sqrt{ 2 } }$ | 2 |
| 3114 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -5 , -3 \right)} $ and radius $ \color{blue}{ 6 }$ | 2 |
| 3115 | Find the center and radius of the circle $ \left( x + 2 \right)^2 + \left( y + 11 \right)^2 = 9 $. | 2 |
| 3116 | Find the center and radius of the circle $ \left( x + 3 \right)^2 + \left( y + 2 \right)^2 = 5 $. | 2 |
| 3117 | Find the center and radius of the circle $ \left(x - 3 \right)^2 + \left( y + 2 \right)^2 = 5 $. | 2 |
| 3118 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -2 , 6 \right)} $ passing throught the point $ \color{blue}{ P = \left( 1 , 6 \right) } $. | 2 |
| 3119 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 3 , -1 \right)} $ passing throught the point $ \color{blue}{ P = \left( 6 , -1 \right) } $. | 2 |
| 3120 | Find the center and radius of the circle $ \left( x + 2 \right)^2 + y^2 = 0 $. | 2 |
| 3121 | | 2 |
| 3122 | Find general equation of a circle with a center at $ \color{blue}{C = \left( -3 , 9 \right)} $ and radius $ \color{blue}{ 0 }$ | 2 |
| 3123 | | 2 |
| 3124 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , 9 \right)} $ and radius $ \color{blue}{ 7 }$ | 2 |
| 3125 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 5 , 9 \right)} $ passing throught the point $ \color{blue}{ P = \left( 2 , 9 \right) } $. | 2 |
| 3126 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -4 , -3 \right)} $ passing throught the point $ \color{blue}{ P = \left( 2 , 2 \right) } $. | 2 |
| 3127 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 7 , 2 \right)} $ passing throught the point $ \color{blue}{ P = \left( -1 , -6 \right) } $. | 2 |
| 3128 | Find the center and radius of the circle $ x^2 + y^2 + 4 y -32 = 0 $. | 2 |
| 3129 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -5 , -3 \right)} $ and radius $ \color{blue}{ \sqrt{ 5 } }$ | 2 |
| 3130 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 1 }{ 9 } , 0 \right)} $ and radius $ \color{blue}{ \frac{ 1 }{ 9 } }$ | 2 |
| 3131 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 15 }{ 2 } , 0 \right)} $ and radius $ \color{blue}{ \frac{ 11 }{ 2 } }$ | 2 |
| 3132 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 15 }{ 2 } , 9 \right)} $ and radius $ \color{blue}{ \frac{ 11 }{ 2 } }$ | 2 |
| 3133 | Find the center and radius of the circle $ x^2 + y^2 -8 x + 12 y + 43 = 0 $. | 2 |
| 3134 | Find the center and radius of the circle $ x^2 + y^2 + 6 x -8 y + 9 = 0 $. | 2 |
| 3135 | Find the center and radius of the circle $ x^2 + y^2 -20 x + 20 y + 119 = 0 $. | 2 |
| 3136 | Find the center and radius of the circle $ x^2 + y^2 + 20 x + 20 y + 119 = 0 $. | 2 |
| 3137 | Find the center and radius of the circle $ x^2 + y^2 -12 x + 16 y + 36 = 0 $. | 2 |
| 3138 | Find the center and radius of the circle $ x^2 + y^2 + 2 x -8 y + 19 = 0 $. | 2 |
| 3139 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ passing throught the point $ \color{blue}{ P = \left( \sqrt{ 53 } , 7 \right) } $. | 2 |
| 3140 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( -3 , 0 \right)} $ passing throught the point $ \color{blue}{ P = \left( -1 , \sqrt{ 104 } \right) } $. | 2 |
| 3141 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 0 , 0 \right)} $ passing throught the point $ \color{blue}{ P = \left( 0 , \frac{ 19 }{ 2 } \right) } $. | 2 |
| 3142 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( \frac{ 9 }{ 2 } , -2 \right)} $ and radius $ \color{blue}{ 3 \sqrt{ 10 } }$ | 2 |
| 3143 | Find standard equation of a circle with a center at $ \color{blue}{C = \left( 9 , -\frac{ 19 }{ 2 } \right)} $ and radius $ \color{blue}{ 6 }$ | 2 |
| 3144 | Find the center and radius of the circle $ \left(x - 4 \right)^2 + \left( y - 2 \right)^2 = 25 $. | 2 |
| 3145 | Find the center and radius of the circle $ x^2 + y^2 -8 x -2 y -8 = 0 $. | 2 |
| 3146 | Find the center and radius of the circle $ x^2 + y^2 -4 x -6 y -87 = 0 $. | 2 |
| 3147 | Find the center and radius of the circle $ \left( x + 2 \right)^2 + \left( y + 6 \right)^2 = \sqrt{ 53 } $. | 2 |
| 3148 | Find the center and radius of the circle $ x^2 + y^2 + 6 x + 10 y + 16 = 0 $. | 2 |
| 3149 | Find the center and radius of the circle $ x^2 + y^2 -12 x + 2 y + 20 = 0 $. | 2 |
| 3150 | | 2 |
