SSC CGL 2024 PYQ — Question 68

SSC CGL - 13 Sep 2024 - Shift 3 • Quantitative Aptitude • Q68

A circle's center is connected to its 50 cm long chord by a perpendicular that is 21 cm long. Find the circle's radius.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 1066\sqrt{1066} cm.

⇒ AD = AB/2 = 50/2 = 25 cm

Now, in △ADO,

⇒ AO2 = AD2 + OD2

⇒ r2 = 252 + 212

⇒ r2 = 625 + 441

⇒ r2 = 1066

⇒ r = 1066\sqrt{1066} cm