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here's a picture of the question:
see item # 7

use ..
\[S = r \ \theta\]

where
S is the arc length
r is the radius
theta is the angle measure in radiant

angle of 3/4 revolution = 270 degrees = 3pi /2

and the length of the arc is 30 pi feet

\[S = r \ \theta\]\[30 \pi = r \times (\frac{ 3 \pi }{ 2 })\]

now make r the subject and c if the value u get for r is the same as in the question ..

got it :) ?

okay thanks.
so it is true

u r welcome... and yes the statement is true!