SSC CPO 2019 PYQ — Question 147

SSC CPO Tier I - 13th December 2019 - Shift 2 • Quantitative Aptitude • Q147

The area (in m2) of a circular path of uniform width x meters surrounding a circular region of diameter d meter is .........

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. πx(x + d)

Understanding Application
Tricks

According to question

Now

Area of the path = Area of big circle - area of small circle

⇒ πR2 - πr2

⇒ π(d/2 + x)2 - π(d/2)2

⇒ π(d2/4 + x2 + dx) - π(d2/4)

⇒ πx2 + πdx

⇒ πx(x + d)