Equation of a Circle Worksheet
Explore and practice finding the equation of a circle given its center and radius, and vice versa.
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Equation of a Circle
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Write the equation of a circle with center (3, -2) and radius 5.
2. Write the equation of a circle with center (-1, 0) and radius 7.
3. Find the center and radius of the circle with the equation (x - 4)² + (y + 1)² = 36.
4. Find the center and radius of the circle with the equation x² + y² = 81.
5. The equation (x + 2)² + (y - 5)² = 9 represents a circle with center (2, -5) and radius 3.
True
False
6. The standard form of the equation of a circle is (x - h)² + (y - k)² = r².
True
False
7. Which of the following is the equation of a circle with center (0, 0) and radius 10?
x² + y² = 10
x² + y² = 100
(x - 10)² + (y - 10)² = 0
10x² + 10y² = 1
8. Graph the circle with the equation (x - 2)² + (y + 3)² = 16. Label the center and state the radius.