Mensuration Ques 18
Question
The sum of the circumference of a circle and the perimeter of a square is equal to $272 cm$. The diameter of the circle is $56 cm$. What is the sum of area of the circle and the area of square?
(1) 2464 sq. cm.
(2) 2644 sq. cm.
(3) 3040 sq. cm.
(4) Cannot be determined
(5) None of these
(Allahabad Bank PO Exam. 17.04.2011)
Show Answer
Correct Answer: (3)
Solution: (3)
Circumference of circle $=\pi \times$ diameter $=\frac{22}{7} \times 56=176 cm$
$\therefore$ Perimeter of square $=272-176=96 cm$
$\therefore$ Side of square $=\frac{96}{4}=24 cm$
$\therefore$ Area of square $=24 \times 24$ $=576 sq . cm$.
Area of circle $=\pi r^{2}$ $=\frac{22}{7} \times 28 \times 28=2464$ sq.cm.
$\therefore$ Required sum $=(576+2464)$ sq. cm. $=3040$ sq. $cm$.
BETA
