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Answer these questions and check your answer by clicking the Answer button.
- Determine whether the following equations represent a circle or not.
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- Given Equation represents a Circle or not (CASE 1)
- Given Equation represents a Circle or not (CASE 2)
- Given Equation represents a Circle or not (CASE 3)
a. x² + y² – 2x – 8y + 1 = 0
b. x² + y² – 4x – 6y + 13 = 0
c. x² + y² + 2x + 6y + 5 = 0
d. x² + y² – 10x – 2y + 29 = 0
e. x² + y² – 6x – 10y – 2 = 0
2. Find the center and radius of each circle.
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- How to find Center and Radius of a Circle by its General Equation (METHOD 1)
- How to find Center and Radius of a Circle by its General Equation (METHOD 2)
a. x² + y² + 4y + 3 = 0
b. x² + y² – 2x – 4y – 11 = 0
c. 2x² + 2y² + 4x – 4y – 2 = 0
d. 9x² + 9y² – 1 = 0
3. Write the equation of following circle.
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- Solved EXAMPLE 1 on how to find an Equation of a Circle if its Center and Radius-length is given
- Solved EXAMPLE 2 on how to find an Equation of a Circle if its Center and Radius-length is given
a.
b.
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Definition of a Circle, Standard Equation of a Circle, Unit circle and its Equation
Solved EXAMPLE 1 on how to find Center and Radius of a circle from its equation
Solved EXAMPLE 2 on how to find Center and Radius of a circle from its equation