Equation of a Circle Worksheet
Grade 12 Math worksheet focusing on the equation of a circle, including standard form, general form, and graphing.
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Equation of a Circle
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the standard form of the equation of a circle with center (h, k) and radius r?
(x + h)² + (y + k)² = r²
(x - h)² + (y - k)² = r
(x - h)² + (y - k)² = r²
h² + k² = r²
2. A circle has the equation x² + y² = 25. What is the radius of the circle?
5
25
12.5
10
3. The center of a circle with the equation (x - 3)² + (y + 2)² = 16 is at the point .
4. The general form of the equation of a circle is x² + y² + Dx + Ey + F = 0, where D, E, and F are .
5. Write the equation of a circle with a center at (-1, 4) and a radius of 3.
6. Find the center and radius of the circle given by the equation (x + 5)² + (y - 1)² = 49.
7. Graph the circle with the equation x² + y² = 9 on the coordinate plane below.
8. The equation x² + y² + 6x - 4y + 13 = 0 represents a circle.
True
False