The radius of the circle is 10 inches long
The given parameters are:
[tex]l = 16[/tex] --- the chord length
[tex]d = 6[/tex] -- the distance of the chord from the center of the circle
The radius of the circle is then calculated using the following Pythagoras theorem
[tex]r = \sqrt{(l/2)^2 + d^2}[/tex]
This gives
[tex]r = \sqrt{(16/2)^2 + 6^2}[/tex]
This gives
[tex]r = \sqrt{100}[/tex]
Evaluate the roots
[tex]r = 10[/tex]
Hence, the radius of the circle is 10 inches long
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