SOLUTION: a french window is 6 ft wide and 4 ft high at the sides is surmounted by a semi-circular arch. If the radius of the circular arch is 4 ft, find the height of the window at the cent

Algebra ->  Coordinate-system -> SOLUTION: a french window is 6 ft wide and 4 ft high at the sides is surmounted by a semi-circular arch. If the radius of the circular arch is 4 ft, find the height of the window at the cent      Log On


   

Question 1092166: a french window is 6 ft wide and 4 ft high at the sides is surmounted by a semi-circular arch. If the radius of the circular arch is 4 ft, find the height of the window at the center. Find the equation of the circular arch if the origin is at the left corner of the window.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The height of the window at the center is
+4+%2B+4+=+8+ ft
The equation of the arch would be:
+%28+x+-+4+%29%5E2+%2B+y%5E2+=+4%5E2+
+y%5E2+=+4%5E2+-+%28+x-4+%29%5E2+
+y+=+sqrt%28+16+-+%28+x-4+%29%5E2+%29+
-------------------------------
check:
Here's the plot:
+graph%28+800%2C+400%2C+-1%2C+10%2C+-1%2C+5%2C+sqrt%28+16+-+%28+x-4+%29%5E2+%29%29+