Question 481602
A central angle of 45 degrees subtends one eighth of the entire circle, so the area of the sector here would be one eighth of the area of the entire circle.

{{{A[s] = (1/8)(pi)r^2}}} Substitute r = 6.
{{{A[s] = (1/8)(pi)6^2}}}
{{{A[s] = (36/8)(pi)}}}
{{{A[s] = 4.5(pi)}}}sq.ft.