Write the equation of the circle with center (-2, -5) and containing the point (-10, -20). Use the ^ key for the exponents. can some one help?

Question

anonymous · Answer

first find the radius by using the distance formula.  find the distance between (-2, -5) and (-10, -20)... what u got?

anonymous · Answer

(-8, -15)?

anonymous · Answer

no.... distance....

anonymous · Answer

Distance = $\large \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} $

anonymous · Answer

289?

anonymous · Answer

actually you'd square it so 17 right?

anonymous · Answer

yes... so your radius is 17...

anonymous · Answer

now the equation of a circle with center (h, k) is written in standard form as:
$\huge (x-h)^2+(y-k)^2=r^2 $

anonymous · Answer

can you plug in your center and radius and then simplify... what u got?

anonymous · Answer

how do you get the center?

anonymous · Answer

the center is given....

anonymous · Answer

center (-2, -5)     radius = 17
put in standard form....

anonymous · Answer

(-10-2)^2 +(-20-5)^2=17^2

anonymous · Answer

so it would be (-12)^2+ (-25)^2=17^2