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11.6 Circles in the Coordinate Plane

11.6 Circles in the Coordinate Plane. STANDARD (form) Equation of a Circle. With center located at “(h, k)” Radius “r” units long Is (x – h)^2 + (y – k)^2 = r^2. Practice!!!!!!!!!!!!!!!. Write the standard equation of a circle with center at (-8, 0) and Radius √5.

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11.6 Circles in the Coordinate Plane

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  1. 11.6 Circles in the Coordinate Plane

  2. STANDARD (form)Equation of a Circle • With center located at “(h, k)” • Radius “r” units long • Is • (x – h)^2 + (y – k)^2 = r^2

  3. Practice!!!!!!!!!!!!!!! • Write the standard equation of a circle with center at (-8, 0) and • Radius √5

  4. PRACTICE! Use distance formula to find “r” • Write the standard equation of a circle with center at (5, 8) that • Passes through the point (-15, -13)

  5. Practice! • Find the center and the radius of the circle which has the equation • (x + 4)^2 + (y – 1)^2 = 25 • Center: Radius: • Graph the circle!

  6. APPLY!!!!!!!!!!! • A diagram locates a radio tower at (6, -12) on a coordinate grid where each unit represents one mile. The radio signal’s range is 80 miles. Find a n equation which describes the position and the range of the tower.

  7. Homework • #3-45, Multiples of 3 AND 63

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