SSC CHSL 2023 PYQ — Question 58

SSC CHSL 2023 - 03 Aug 2023 - Shift 2 • Quantitative Aptitude • Q58

Two parallel lines touch the circles at P and Q, The Area of the circle is 154 cm². Find the length of PQ (Take π = 227\frac{22}{7} )

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 14 cm

Given that

Area of the circle = 154 cm²

Two parallel lines touch the circles at P and Q

Formula used

Area of circle = π × r2, where 'r' is the radius

Diameter = 2r

Calculation

⇒ π × r2 = 154

⇒ r = 7 cm

⇒ Diameter = 2 × 7 = 14 cm 

Hence, the length of PQ is 14 cm