Equation of a Circle Worksheet
Grade 12 Math worksheet focusing on the equation of a circle, including standard form, general form, and graphing.
Includes
Standards
Topics
Equation of a Circle
Name:
Date:
Score:
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
Related Worksheets
Grade 12 Math: Translations Worksheet
This worksheet focuses on understanding and applying translations in coordinate geometry for Grade 12 students.
Annulus Area Worksheet
Grade 12 Math worksheet on calculating the area of an annulus, including problems with different units and composite shapes.
Cavalieri's Principle Worksheet
Grade 12 Math worksheet on Cavalieri's Principle, exploring its application to calculate volumes of various solids.
Grade 12 Math: Triangular Prisms
This worksheet focuses on understanding and calculating properties of triangular prisms, including surface area and volume.
Slicing 3D Figures Worksheet
Explore the cross-sections of various three-dimensional figures with this Grade 12 Geometry worksheet.
Grade 12 Geometry: Parallel Line Proofs
Worksheet focusing on parallel line theorems and proofs, including alternate interior angles, corresponding angles, and consecutive interior angles.
Angle Pairs Worksheet
A Grade 12 math worksheet focusing on identifying and calculating various angle pairs, including complementary, supplementary, vertical, adjacent, corresponding, alternate interior, and alternate exterior angles.
Grade 12 Cartesian Coordinates Worksheet
A Grade 12 math worksheet focusing on advanced Cartesian coordinate concepts, including distance, midpoint, and geometric properties.