In the diagram, note that the angle subtended at the centre of the circle by the major arc is
\((2\pi-\theta)\) radians.
Example:
The diagram shows arc \(AB\) of a circle with centre \(O\).
Find the length of the arc \(AB\).
Based on the question, the length of the arc \(AB\)
\(\begin{aligned} &=13\text{ cm} \times 2.7 \text{ rad}\\ &=35.1 \text{ cm}. \end{aligned}\)
The perimeter of the shaded segment \(APB\)
\(\\ \ = \text{Length of Chord } AB + \text{ Length of Arc } APB \\\\\)
\(\begin{aligned} &=8. \,3916+9 \\\\ &=17.39 \text{ cm}. \end{aligned}\)
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