def optimize_annulus(optrad, outann, verbose=0):
    """
    Suggest optiumum annulus dimensions.

    :param optrad: The optimal photometric aperture radius, in degrees.

    :type optrad: float

    :param outann: The outer annulus to test, in degrees.

    :type outann: float

    :param verbose: Verbosity level, a value of 0 is minimum verbosity.

    :type verbose: int

    :returns: float - The suggested outer annulus for background calculation.
    """
    if outann <= round(2 * optrad, 4):
        print('Warning: There are known sources within the background annulus.'
            )
        print('Use --hrbg to mask these out. (Will increase run times.)')
    return round(1.2 * optrad, 4), round(2 * optrad, 4)
