SPS SPS SM 2025 February — Question 3

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2025
SessionFebruary
TopicRadians, Arc Length and Sector Area

3.
\includegraphics[max width=\textwidth, alt={}, center]{9eff9a1d-7d5c-4cee-87c9-8811dad16ffb-08_469_471_130_877} The diagram shows a sector \(A O B\) of a circle with centre \(O\). The length of the \(\operatorname { arc } A B\) is 6 cm and the area of the sector \(A O B\) is \(24 \mathrm {~cm} ^ { 2 }\). Find the area of the shaded segment enclosed by the \(\operatorname { arc } A B\) and the chord \(A B\), giving your answer correct to 3 significant figures.
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