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Use the information provided to write the equation of each circle. 9) Center: (13 , −13) Radius: 4 10) Center: (−13 , −16) Point on Circle: (−10 , −16) 11) Ends of a diameter: (18 , −13) and (4, −3) 12) Center: (10 , −14) Tangent to x = 13 13) Center lies in the first quadrant Tangent to x = 8, y = 3, and x = 14 14) Center: (0, 13)
Use the information provided to write the standard form equation of each circle. 1) 8 x + x2 − 2y = 64 − y2 2) 137 + 6y = −y2 − x2 − 24 x 3) x2 + y2 + 14 x − 12 y + 4 = 0 4) y2 + 2x + x2 = 24 y − 120 5) x2 + 2x + y2 = 55 + 10 y 6) 8x + 32 y + y2 = −263 − x2 7) Center: (−11 , −8) Radius: 4 8) Center: (−6, −15) Radius: 5
This worksheet reviews how to find the standard form of the equation of the circle with the given radius and center. A sample problem is solved, and six practice problems are provided.
To find the center and the radius of a circle using the equation of the circle: Write the equation of the circle in standard form: \((x- h)^2+( y-k)^2= r^2\), The center of the circle is at \(h,k\), and its radius is \(r\).
The distance between any point of the circle and the center is called the radius. The equation of a circle is given as: in an x–y Cartesian coordinate system, a circle with center coordinates (a, b) and radius r is the set of all points (x, y) such that (x-a)2+ (y-b)2=r2.
Use the information provided to write the standard form equation of each circle. 1) Center: (-11, -8) Radius: 2 (x + 11) 2 + (y + 8) 2 = 4 2) Center: (10, -4) Radius: 5 (x - 10) 2 + (y + 4) 2 = 25 3) Center: (-2, -13) Radius: 2 (x + 2) 2 + (y + 13) 2 = 4 4) Center: (-12, 12) Radius: 3 (x + 12) 2 + (y - 12) 2 = 9 5) Center: (0, 0) Radius: 2 x2 ...
Free printable worksheet on the equation of a circle -- includes visual aides, model problems, exploratory activities, practice problems, and an online component.
