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Equation of Circles: Find Center and Radius

Learn to write the equation of a circle with the center (x1, y1) and radius r. Practice solving circle equations provided. Equations include circles with different centers and radius. Use the formula (x-x1)^2 + (y-y1)^2 = r^2. Improve your circle equation skills!

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Equation of Circles: Find Center and Radius

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  1. 10-8 Equation of CirclesN#____ 4/25/2014 SLG : Students will be able to write the equation of a circle.

  2. Equation of a Circle : ( x – x1 )2 + ( y – y1 )2 = r2 Center of the Circle : ( x1 , y1 ) Radius : r State the center and radius for each equation of a circle. E1 x2 + y2 = 81 E2 ( x – 5 )2 + ( y + 4 )2 = 25 E3 ( x + 1 )2 + ( y – 3 )2 = 400

  3. Write the equation of each circle. E4 C = ( 0 , 0 ) : r = 6 E5 C = ( 3 , 2 ) : r = 1 E6 C = ( -4 , -9 ) : d = 14 E7 C = ( -7 , 0 ) : d = 8

  4. Write the equation of each circle. E8 E9 E10 E11

  5. A#____ 4/25/2014 SPWS 10-8 & SWS 10-8

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