Question : When a wire is bent in the form of a square, then the area enclosed by it is 5929 cm2. If the wire is bent into the form of a circle, then what will be the area enclosed by the wire?
Option 1: 7546 cm2
Option 2: 8542 cm2
Option 3: 7632 cm2
Option 4: 6954 cm2
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 7546 cm2
Solution : Given: When a wire is bent in the form of a square, then the area enclosed by it is 5929 cm2. Let the sides of the square be $a$. Then, $a^2=5929$ ⇒ $a=77$ cm Now, the length of the wire = perimeter of the square = 4$a$ = 4 × 77 = 308 cm So, the circumference of the circle = 308 cm Let the radius of the circle be $r$. So, $2\pi r=308$ ⇒ $r=308×\frac{7}{22}×\frac{1}{2}$ ⇒ $r=49$ So, the area of the circle $= \pi r^2 = \frac{22}{7}×49×49$ = 7546 cm2 Hence, the correct answer is 7546 cm2.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : A wire is in the form of square with side 44 cm. It is bent to form a circle. What is the radius of the circle?
Option 1: 28 cm
Option 2: 21 cm
Option 3: 16 cm
Option 4: 32 cm
Question : The length of each side of a square is 16 cm. What is the area of the square?
Option 1: 112 cm2
Option 2: 176 cm2
Option 3: 128 cm2
Option 4: 256 cm2
Question : The breadth of a rectangle is $\frac{4}{5}$th of the radius of a circle. The radius of the circle is $\frac{1}{5}$ of the side of a square, whose area is 625 cm2. What is the area of the rectangle if the length of the rectangle is 20 cm?
Option 1: 150 cm2
Option 2: 600 cm2
Option 3: 100 cm2
Option 4: 80 cm2
Question : The circumference of a circle is 220 cm. What is the area of that circle?
Option 1: 3850 cm2
Option 2: 4550 cm2
Option 3: 2850 cm2
Option 4: 4650 cm2
Question : 5 times the perimeter of a square is 600 cm. What will be the area of this square?
Option 1: 900 cm2
Option 2: 1150 cm2
Option 3: 750 cm2
Option 4: 480 cm2
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile