Acircle with radius x is shown below. the diagram is not drawn to scale. what is the value of x

You have one chord of length 28 and you know the distance of this chord from the center which is 8.if you rotate the radius so that it connects the center with one of the extremities of the chord you get a triangle rectangle, with legs 8 and 14 (half the chord).therefore, you can simply apply the pythagorean theorem: x =  √(8² + 14²)  =  √(64 + 196)  =  √260  = 16.1245hence, the radius is 16.1 units long.