(a)
A segment of a circle is cut off from a rectangular board as shown in the diagram. If the radius of the circle is $1\frac{1}{2}$ times the length of the chord; calculate, correct to 2 decimal places, the perimeter of the remaining portion. [Take $\pi =\frac{22}{7}$]
(b) Evaluate without using calculators or tables, $\frac{3}{\sqrt{3}}(\frac{2}{\sqrt{3}}-\frac{\sqrt{12}}{6})$.


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