Answer :
Since DL is a perpendicular bisector of chord GA, the diameter is equal to 52 feet.
What is a perpendicular bisector?
In Mathematics and Geometry, a perpendicular bisector is a line that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
Generally speaking, the product of the segment lengths for each chord is a constant. Therefore, we can determine this constant as a product of the segment lengths with respect to the bisected chord as follows:
24 × 24 = 576 ft²
For the missing segment length of the diameter's chord (DO), we have:
DO × 36 = 576 ft²
DO = 576/36
DO = 16 ft.
Therefore, the total length of the diameter is given by;
DL = DO + OL
DL = 16 + 36
DL = 52 ft.
Read more on perpendicular bisectors here: brainly.com/question/19154899
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