Mensuration Ques 24
Question
The circumference of a semi-circle is $180 cm$. If the side of a square is $60 \%$ more than the diameter of the circle, what is the perimeter of the square?
(1) $368 cm$.
(2) $464 cm$.
(3) $486 cm$.
(4) $448 cm$.
(5) $344 cm$.
(IBPS Bank PO/MT (Pre.) Exam, 23.10.2016)
Show Answer
Correct Answer: (4)
Solution: (4)
Perimeter of semi-circle $=\pi r+2 r=r(\pi+2)$
$\therefore \quad r(\pi+2)=180$
$\Rightarrow r\left(\frac{22}{7}+2\right)=180$
$\Rightarrow r\left(\frac{22+14}{7}\right)=180$
$\Rightarrow r\left(\frac{36}{7}\right)=180$
$\Rightarrow r=\frac{180 \times 7}{36}=35 cm$.
$\therefore$ Side of square $=160 \%$ of $(2 \times 35)$ $=\frac{70 \times 160}{100}=112 cm$.
$\therefore$ Perimeter of square $=(4 \times 112) cm$. $=448 cm$.
BETA
