Question 1134505
Find the center of the endpoints
{{{ h = ( -5 + 3 )/2 }}}
{{{ h = -2/2 }}}
{{{ h = -1 }}}
and
{{{ k = ( -5 + 1 )/2 }}}
{{{ k = -4/2 }}}
{{{ k = -2 }}}
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The center is at ( -1, -2 )
{{{ ( x - h )2 + ( y - k )^2 = r^2 }}}
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Find the length of the radius
{{{ d^2 = ( 3 -(-5) )^2 + ( 1 -(-5) )^2 }}}
{{{ d^2 = 64 + 36 }}}
{{{ d^2 = 100 }}}
{{{ d = 10 }}}
{{{ r = 5 }}}
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{{{ ( x -(-1) )^2 + ( y -(-2) )^2 = 5^2 }}}
{{{ ( x + 1 )^2 + ( y + 2 )^2 = 25 }}}
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check:
( -5,-5 )
{{{ ( -5 + 1 )^2 + ( -5 + 2 )^2 = 25 }}}
{{{ 16 + 9  = 25 }}}
OK
( 3,1 )
{{{ ( 3 + 1 )^2 + ( 1 + 2 )^2 = 25 }}}
{{{ 16 + 9 = 25 }}}
OK