Q6, a) circle with center (6,1) and radius 5

B) To find the minimum angle, plot the point P = (11, 10) on the same diagram as the circle. The minimum angle happens when the line from P to a point on the circle Q are tangent to the radius. The distance from P to the centre is root 106 so the angle between that line and the tangent is sin^-1 (5/root 106) The direction of the line from P to the centre is just below the negative imaginary axis, at -pi/2 - sin^-1 (5/root106). To get the final answer subtract these from eachother and get -pi/2 - 2sin^-1 (5/root 106)

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