Answer:
BC = 48 cm
Step-by-step explanation:
given OA = 25 cm ( radius of circle ) and OD = 7 cm
OD is the perpendicular bisector of chord BC , so
BD = DC
Note that OC is the radius of the circle = 25 cm
triangle ODC is right with ∠ ODC = 90°
using Pythagoras' identity in the right triangle to find DC
DC² + OD² = OC² ( substitute values )
DC² + 7² = 25²
DC² + 49 = 625 ( subtract 49 from both sides )
DC² = 576 ( take square root of both sides )
DC = [tex]\sqrt{576}[/tex] = 24
Then
BC = BD + DC = 24 + 24 = 48 cm
