ABC26GN4627 · Area
Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The area of a circle is 220 sq. cm. The area of a square inscribed in this circle will be
(a)$49 \mathrm{cm}^{2}$
(b)$70 \mathrm{cm}^{2}$
(c)$140 \mathrm{cm}^{2}$
(d)$150 \mathrm{cm}^{2}$
Answer
Explanation
$\pi R^{2}=220 \Leftrightarrow R^{2}=\left(220 \times \frac{7}{22}\right)=70$. Now, $R=\frac{1}{2} \times($ diagonal $) \Leftrightarrow$ diagonal $=2 R$. Area of the seuare $$=\frac{1}{2} \times(\text { diagonal })^{2}=\left(\frac{1}{2} \times 4 R^{2}\right)-2 R^{2}=(2 \times 70) \mathrm{cm}^{2}=140 \mathrm{cm}^{2} .$$
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