Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) center (C)=(-2,3) passing through P(3,1)

Question

Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)  center (C)=(-2,3) passing through P(3,1)

jdoe0001 · Answer

so... do you know the equation for a circle?

jdoe0001 · Answer

http://www.mathwarehouse.com/geometry/circle/images/equation-of-circle/general-formula-equation-of-circle.png

jdoe0001 · Answer

so how to find the radius?  well, the radius is the distance between the center and a point it "passes through"
and you have those 2 points,
how far apart are there? well $\bf \text{distance between 2 points}\
d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

anonymous · Answer

I worked it out and im sure I did it right, but the standard notation part is getting me..

jdoe0001 · Answer

the (h, k) is just the center, so your center is at  (-2, 3)
so $\bf (x-h)^2+(y-k)^2=r^2 \implies (x-(-2))^2+(y-(3))^2=r^2\ \implies (x+2)^2+(y-3)^2=r^2$

anonymous · Answer

i had something similar but neither are right. i wonder if it's because of the standard notation