The ratio of the areas of the incircle and the circumcircle of a square is · ABC26GN4632
Subject: General Aptitude · Chapter: Area · Exam: S.S.C. 2008
The ratio of the areas of the incircle and the circumcircle of a square is
(a)1 : 2
(b)$\sqrt{2}: 1$
(c)$1: \sqrt{2}$
(d)2 : 1
Answer
Answer (as printed): A
Explanation
Let r1 and r2 be the radii of the incircle and circumcircle of a square respectively and let each side of the square be a. a 1 Then, r1 = . r2 = × diagonal of the sequence 2 2 1 2a = × 2a = cm. 2 2 2 a π× 2 = 1 : 2. \ Required ratio = 2 2a π× 2
Explanation as extracted from the printed page; notation may be imperfect.