15 Views

Question : The ratio of the outer and the inner circumference of a circular path is 17 : 15. If the path is 40 metres wide, then what is the radius of the inner circle?

Option 1: 280 metres

Option 2: 340 metres

Option 3: 360 metres

Option 4: 300 metres


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

Correct Answer: 300 metres


Solution :
Let the radius of the inner and outer circumference be $r$ and $R$.
$R=r+40$
According to the question,
$\frac{2\pi R}{2\pi r}=\frac{17}{15}$
$⇒\frac{(r+40)}{r}=\frac{17}{15}$
$⇒15r+600=17r$
$⇒2r=600$
$\therefore r = 300$ metres
Hence, the correct answer is 300 metres.

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