SOLUTION: Find an equation of the circle that has center C(4, −2) and is tangent to the line y = 3. (Give your answer in standard notation.)

Question 797240: Find an equation of the circle that has center C(4, −2) and is tangent to the line y = 3. (Give your answer in standard notation.)

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find an equation of the circle that has center C(4, −2) and is tangent to the line y = 3. (Give your answer in standard notation.)
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Standard form of equation for a circle: (x-h)^2+(y-k)^2=r^2,(h,k)=(x,y) coordinates of center, r=radius
For given circle:
radius=5(distance from y-coordinate of center(-2) to tangent line y=3
equation:(x-4)^2+(y+2)^2=25
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SOLUTION: Find an equation of the circle that has center C(4, &#8722;2) and is tangent to the line y = 3. (Give your answer in standard notation.)

SOLUTION: Find an equation of the circle that has center C(4, −2) and is tangent to the line y = 3. (Give your answer in standard notation.)