When recording live performances sound engineers often use amicrophone with a ca

When recording live performances sound engineers often use amicrophone with a cardioid pickup pattern because it suppressesnoise from the audience. Suppose the microphone is placed 3 m fromthe front on the stage (as in the figure) and the boundary of theoptimal pickup region is given by the given cardioid where r ismeasured in meters and the microphone is at the pole. The musicianswant to know the area they will have on stage within the optimalpickup range of the microphone. Use CAS to answer their question.(Give your answer correct to two decimal places.)