Many Modern Homes Have Windows with Arches on the Top $~~~~~~, ~~~~~~~~$

Many modern homes have windows with arches on the top. On one particular home-site, a contractor needs to cut a hole into a wall to accommodate a window with a circular arch that is 10 ft. wide and 2 ft.
high. In order to draw the arch, the contractor will use a piece of string with a pencil attached to the end to act as a compass.

-Where is the string of the makeshift compass anchored? How long is the string? In other words, what is the length of the radius of the arch? (Hint: Use the Pythagorean Theorem for right triangles and show your work on the next page. Let the hypotenuse of the right triangle be the string shown and the legs of this triangle be formed from the axes of your coordinate system. The length of one leg is shown. Let the length of the hypotenuse be x and use this length to represent the length of the other leg.)
Location of anchor: ( $~~~~~~, ~~~~~~~~$ ) Raduis = ______________