Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The ratio of the areas of the incircle and circumcircle of an equilateral triangle is
(a)1 : 2
(b)1 : 3
(c)1 : 4
(d)1 : 9
Answer
Answer (as printed): C
Explanation
Radius of incircle of an equilateral triangle $=\frac{a}{2 \sqrt{3}}$. Radius of circumcircle of an equilateral triangle $=\frac{a}{\sqrt{3}}$. ∴ Required ratio $=\frac{\pi a^{2}}{12}: \frac{\pi a^{2}}{3}=\frac{1}{12}: \frac{1}{3}=1: 4$.
Explanation as extracted from the printed page; notation may be imperfect.