Find the measure of the central angle

Find the measure of the central angle, in radians, given the area of the sector as
22.6 cm2 and a radius equal to 3.7 cm. Round your answer to the nearest tenth.

area of circle = 'pi' R^2= 3.14 (3.7^2)= 3.14(13.69)=42.9866 cm^2

for 42.9866 cm^2....................2 'pi' radians
for 22.6cm^2.........................?
= 2(3.14)(22.6)
.......................
42.9866
= 141.928
..............
42.9866
= 3.30 radians

Area = (θr^2)/2
θ = (2*22.6)/(3.7)^2
= 3.3 radians