What is the answer to this problem? If the sector area of a sector intersecting Arc AB is 30 and the radius is 15, then the measure of Arc AB is ___°. (Round your answer to one decimal place, if necessary.)

Area of a sector = theta * pi * r^2 / 360 .....so...we have

30 = theta * pi * (225) /360 simplify

30 = theta * pi * (5/8) divide both sides by pi * (5/8)

30 / [ pi * 5/8] = theta ≈ 15.3°