Mensuration Ques 17
Question
The total area of a circle and a rectangle is equal to 1166 sq.cm. The diameter of the circle is 28 $cm$. What is the sum of the cir- cumference of the circle and the perimeter of the rectangle if the length of the rectangle is $25 cm$ ?
(1) $186 cm$
(2) $182 cm$
(3) $184 cm$
(4) Cannot be determined
(5) None of these
(Bank Of Baroda PO Exam. 13.03.2011)
Show Answer
Correct Answer: (2)
Solution: (2)
Area of circle $=\pi r^{2}$ $ =\frac{22}{7} \times 14 \times 14=616 \text { sq.cm. } $
$\therefore$ Area of rectangle $=1166-616$ $=550 sq . cm$.
Breadth of rectangle $=\frac{550}{25}=22 cm$.
$\therefore$ Circumference of circle $=\pi \times$ diameter $=\frac{22}{7} \times 28=88 cm$.
Perimeter of rectangle $=2$ (length + breadth)
$=2(25+22)=94 cm$.
Required sum $=88+94$ $=182 cm$
BETA
