Given circle with 5.4 radian angle and radius 2.2 units long.
To find co-ordinate (x,y), we will use parametric form method,
and equation of circle is
![(x-a)^2+(y-b)^2=r^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/ilekd9w5v3ytefhk3unvr8rhka2u3mptc6.png)
To find x, y using radius and angle,
![\begin{gathered} x=a+r\cos \theta \\ y=b+r\sin \theta \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/g4lyocz7aurif2go99yg9u17fcqmgmczrr.png)
So,
![\begin{gathered} x=2.2cos309^(\circ) \\ y=2.2\sin 309^(\circ) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/dk33pyi34d1jh8xevtavcfjxb945jn8oxr.png)
Because 5.4 radian in degree equal approx. 309 degree.
Hence required co-ordinate is
![(x,y)=(2.2\cos 309^(\circ),2.2\sin 309^(\circ))](https://img.qammunity.org/2023/formulas/mathematics/college/fnlo75ocv2dzs2y7s90b19surhvovm9qgr.png)