Question 1046085
Central angle is  {{{360/7=51.42857=(51&3/7)degrees}}}.


radius of the circle is {{{200feet}}}.


Triangle formed is isosceles, and you could use Law Of Cosines to find the distance between any two nearest houses around the circle.  You could also split the triangle into two right-triangles sharing a radius as the longest common leg.



If choosing Law Of Cosines:
{{{200^2+200^2-2*200*200*cos(51&3/7)=d^2}}}, simplify and solve for d.



MISTAKE:  I answered the wrong problem for you.  Your description said, "semicircle"; and by mistake, I solved for "circle".  Actual central angle will be  {{{180/7}}} degrees.