General Aptitude TestQuantitative ReasoningMensuration: 2D/3D

A 5 cm long perpendicular is drawn from the centre of a circle to a 2…

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.

Answer & explanation

Correct answer: option 4

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