7 Views

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


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 11th Jan, 2024

Correct Answer: 7546 cm 2


Solution : Given: When a wire is bent in the form of a square, then the area enclosed by it is 5929 cm 2 .
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 cm 2
Hence, the correct answer is 7546 cm 2 .

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books