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