Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The area of the rectangle circumscribed by a circle is $32 \mathrm{cm}^{2}$ and the length of one side of the rectangle is 8 cm . The length of the diameter of the circle is
(a)16 cm
(b)12 cm
(c)$5 \sqrt{2} \mathrm{cm}$
(d)$4 \sqrt{5} \mathrm{cm}$
Answer
Answer (as printed): D
Explanation
Area of the rectangle $=32 \mathrm{cm}^{2}$. One side $=8 \mathrm{cm}$. $$\text { Other side }=\left(\frac{32}{8}\right) \mathrm{cm}=4 \mathrm{cm}$$ ∴ Diameter of the circle = Diagonal of the rectangle $$=\sqrt{8^{2}+4^{2}} \mathrm{cm}=\sqrt{80} \mathrm{cm}=4 \sqrt{5} \mathrm{cm} .$$