AFCAT II 24 Aug 2025 Shift 1 Paper

Ratio of circumferences = Ratio of radii
Outer circumference =2πR
Inner circumference =(2π(r))
Where (R) is the radius of the outer circle and (r) is the radius of the inner circle.
Width of the path =(R−r)
Calculation:
Let the radius of the inner circle be ( r ) meters.
Then, the radius of the outer circle is (r+45) meters.
Given the ratio of the outer circumference to the inner circumference is 7:6 :
‌(2π(r+45))∕(2πr)=7∕6
‌(r+45)∕(r)=7∕6
Cross-multiply to solve for r :
‌6(r+45)=7r
‌6r+270=7r
‌270=7r−6r
‌270=r