*Consider the points (4,-7) and (-6, 13).*

*(a) Find the midpoint. Show work.*

*(b) If the point you found in (a) is the center of a circle, and the other two points are points on the circle, find the length of the radius of the circle. Find the exact answer and simplify as much as possible. Show work.*

*(c) State the equation of the circle described above (in standard form).*

_{m},y

_{m}) = ((x

_{1}+x

_{2})/2,(y

_{1}+y

_{2})/2) = ((4-6)/2,(13-7)/2) = (-1,3)

_{2}-x

_{m})

^{2}+(y

_{2}-y

_{m})

^{2}]

^{1/2}= [(-6+1)

^{2}+(13-3)

^{2}]

^{1/2}= [25+100]

^{1/2}= 5√5

^{2}+ (y-k)

^{2}= r

^{2}