A 5 cm long perpendicular is drawn from the centre of a circle to a 24 cm long chord. Find the diameter of the circle.

32 cm 13 cm 30 cm 26 cm

26 cm

Let the centre of the circle be 'O' and 'OB' is the radius Length of chord AB is 24 cm so DB is equal to 12 cm Now according to the question  OB2 = OD2 + DB2 OB2 = 52 + 122 OB2 = 25 + 144  OB2 = 169  = OB = 13  Now,  Diameter of the circle = 2 × Radius  = 2 × 13 = 26 cm