According to the 2010 census, the county has a total area of , of which (or 98.67%) is land and (or 1.33%) is water. Morgan County is bisected by the White River Valley; the community has taken an interest in recent years in protecting the river as an asset, seeking to develop parks and greenways along the White River and initiating an annual river cleanup day in the spring.
ACCordIng to thE 2010 CEnsus the coUnty Has a totAL AREA of  Of which (or 9867%) iS lAnd And (Or 133%) is water morgan counTY is BisecTed by thE WHIte River vALlEy; tHe cOMmUnity hAS Taken An iNtErESt in recent yeaRs In pRoTEcTing tHe River aS AN asset seEkIng To devELOp PARkS And greeNWAYs aloNg the WhitE rIver and initIatinG an annual River cLeanup Day in THE spRing