The length of the radius will be 22 units.
The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.
Now from the question, we have an expression:
[tex]r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )[/tex]
By solving the above equation we get
[tex]r=(\dfrac{18997}{864} )[/tex]
[tex]r=22[/tex]
Hence the length of the radius will be 22 units.
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