Question 493736
first the area of the whole circle is 49pi ft^2
a portion of that circle is 50 ft^2
the whole circle is (360/360)*49pi
so if we let the numerator equal x, set that expression equal to 50 and then solve for x, it will give us the measure of the central angle that we are looking for.
So, 
{{{x/360*49pi=50}}}
{{{x=18000/(49pi)}}}
x is about {{{116.93}}} degrees