SSC CGL 2024 PYQ — Question 74

SSC CGL - 18 Sep 2024 - Shift 1 • Quantitative Aptitude • Q74

A chord of length 32 cm is drawn at a distance of 12 cm from the center of a circle. Find the radius of the circle.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 20 cm.

From the figure above

In ΔPRO

PO2 = PR2 + RO2

⇒ PO2 = 162 + 122

⇒ PO2 = 256 + 144

⇒ PO2 = 400

⇒ PO = √400

⇒ PO = 20cm