Question

5 concentric circles are drawn whose circumferences are in the ratio 2:3:7:9:
13. If a line is drawn joining the centre to a point on the outermost circle, what is
the ratio of the length of the line to the radius of the 2nd innermost circle?​

Answer 1

Answer:

The ratio of the length of the line drawn joining the centre to a point on the outermost circle to the radius of the second innermost circle is = 13:3.

Step-by-step explanation:

5 concentric circles are drawn whose circumferences are in the ratio 2:3:7:9:13.

We know that, perimeter of any circle is 2πr, where r is the radius.  Therefore, the ratio of perimeters is the ratio of respective radii.

Now the line drawn is the radius of the outermost circle.

The ratio of the radius of the outermost circle to that of the second innermost circle is the ratio of respective perimeters = 13:3.