SSC CHSL 2024 PYQ — Question 55

SSC CHSL - 02 July 2024 - Shift 2 • Quantitative Aptitude • Q55

The two concentric circles have radii of 17 cm and 15 cm. What is the length (in cm) of the chord, of the bigger circle, which is a tangent to the smaller circle?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 16.

We know that,

Length of chord = 2 × √(R2 - r2)

⇒ 2 × √(172 - 152)

⇒ 2 × √(289 - 225)

⇒ 2 × √64

⇒ 2 × 8

⇒ 16

Thus, the length of the chord is 8 cm