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[DOC File]Worksheet on Equations of Circles
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The equation of a circle is based upon its definition and the Pythagorean theorem. Since a locus for the circle is “the set of points equidistant from a single point called the center” and that distance between the center and the point on the circle is a constant radius, then we can consider the radius to be the hypotenuse of all right triangles whose sides are the differences between the
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[DOC File]Loudoun County Public Schools
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To write the equation of a circle given a graph or facts about the circle. To find the center, radius and intercepts of a circle given its equation. Circle –The set of points in the xy-plane that are a fixed distance r from a fixed point (h, k). The fixed distance r is called the radius, and the fixed point (h, k) is the center of the circle ...
find the center and the radius

[DOCX File]Example #5: - Mrs. Yu's Website
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Lesson 8 Equation of A circle. Remember that a circle is the set of points (x, y) in a plane that are equidistant from a given point (h, k), which is called the center. If we know the coordinates of the center (h, k) and the length of the radius r, we can use the distance formula, because the radius is the distance from the center to any point ...
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[DOCX File]MS. MAHER'S MATH
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Write the equation of a circle with center (-1, 4) and containing the point (5, -4). Use completing the square method to write each equation in standard form, then state the center point and radius, and graph the circle in a coordinate plane.
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[DOC File]UNIT: Circles
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Describe the circle whose equation is given by . G.G.73b. Similar to the equation of a circle the equation of a sphere with center (h,j,k) and radius r is . Determine the center and radius of the sphere shown if its equations is . G.G.74 Graph circles of the form . G.G.74a . Sketch the graph of the circle whose equation is (x – 5)2 + (y + 2)2 ...
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[DOCX File]portal.ct.gov
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the circle is defined as the locus of points that are at a given distance to a given point. From the locus definition the equation of a circle in the coordinate plane with center (h, k) and radius . r. is derived.
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[DOC File]Lesson 9
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Check that the point (3, 4) is the circle given by the equation. 15. Check that the point (-5, 5) is the circle given by the equation. 16. Write the equation of the circle with center at (2, 0) and radius 4. 17. Write the equation of the circle with center at (4, 5) and radius 9. 18. Write the equation of the circle with center at (-1, -5) and ...
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[DOC File]Government of New Jersey
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G.C.5 4 Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. G.GPE.1 5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g. find the equation of a line parallel or ...
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[DOC File]Name_____________________
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A circle is the set of points in a plane that are a _____ distance, called the r_____, from a fixed point called the c_____. Circle whose center is at the origin. Graph it. General: Example: Examples. 1a. Write the equation of a circle whose center is at the origin and whose radius is 10 cm. 1b.
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[DOC File]Summary of Lesson Lab: CIRCLES
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Given (h, k) as the center of a circle, (x, y) as a point on the circle, and using the distance formula to find the radius, write the equation for a circle. (Eliminate the radical.) Guided Practice (algebraic) Write the standard equation of a circle with the given conditions: 1. center (0, 0); radius = 4 2.
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Equation of circle given center and point