Two concentric circles with radii p cm and (p + 2) cm are drawn on a paper. The difference between their areas is 44 sq. cm. What is the value of p?(Take π = 22/7)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2.5
We know that the area of the circle is πr2
⇒ π(p + 2)2 - πp2 = 44
⇒ (22/7)(p + 2 - p)(p + 2 + p) = 44
⇒ 2(2p + 2) = 14
⇒ 2p + 2 = 7
⇒ 2p = 5
⇒ p = 2.5