Question

The ratio of the distance covered by a cyclist to travel along the outer and the inner boundaries of a circular path is 23:22.If the path is 5 m wide,
Find the diameter of inner circle & Find the Area of outer circle in m^2
​

Answer 1

Answer:

Let the radius of inner perimeter be r

1

and the outer perimeter be r

2

So,

2r

1

π

2r

2

π

=

22

23

⇒r

2

=

22

23

r

1

Now from the question, we have

r

2

−r

1

=5

22

23

r

1

−r

1

=5

⇒r

1

=110

and r

2

=115

Area of path enclosed between two circles are,

=π(r

2

2

)−π(r

1

2

)

=π(115

2

−110

2

)

=3535.71

Thus the area of path enclosed between the two circles is 3535.71 sq. m.