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Section 3.3 : Circles
- Write the equation of the circle with radius 3 and center \(\left( {6,0} \right)\). Solution
- Write the equation of the circle with radius \(\sqrt 7 \) and center \(\left( { - 1, - 9} \right)\). Solution
For problems 3 – 5 determine the radius and center of the circle and sketch the graph of the circle.
- \({\left( {x - 9} \right)^2} + {\left( {y + 4} \right)^2} = 25\) Solution
- \({x^2} + {\left( {y - 5} \right)^2} = 4\) Solution
- \({\left( {x + 1} \right)^2} + {\left( {y + 3} \right)^2} = 6\) Solution
For problems 6 – 8 determine the radius and center of the circle. If the equation is not the equation of a circle clearly explain why not.