Question

in circle o, points a and b lie on the circle such that OA=5x-11 and OB=4(x-1) what represents the length of the circle' s diameter

Answer 1

we know that
if points a and b lie on the circle  and O is the center
so
OA is the radius
OA=OB
5x-11=4(x-1)-----> 5x-11=4x-4----> 5x-4x=11-4-----> x=7
OA=5x-11-------> OA=5*7-11-----> OA=24  units

the diameter is (OA+OB)
2*OA------> 2*24------> 48 units