Answer
Exact value= $\frac{6}{\pi}\,hours$
Approximate value=$1.9\,hours$
Work Step by Step
Radius $r=(4000+200)\,miles=4200\,miles$
Arc length $s=8400\,mi$
Angle covered $\theta=\frac{s}{r}=\frac{8400\,mi}{4200\,mi}=2\,rad$
Inorder to complete $2\pi$ radians the space shuttle needs 6 hours.
Therefore 1 radian is covered in $\frac{6}{2\pi}$ hours.
Time taken to cover 2 rad=$(\frac{6}{2\pi}\times2)\,hours=\frac{6}{\pi}\,hours=1.9\,hours$
