$$\(A B\)$$ is the sector of a circle, centre $$\(O\)$$. $$\(B=8 \mathrm{~cm}\)$$ and angle $$\(A O B=30^{\circ}\)$$. $$\(B P\)$$ is perpendicular to $$\(O A\)$$. Work out the area of the shaded region $$\(A P B\)$$. $$\(..................\operatorname{cm}^{2}\)$$
Exam No：0580_w20_qp_23 Year：2020 Question No：21(b)
Answer:
\(2.9[0]\) or \(2.895\) to \(2.901\)
Knowledge points:
E5.3.1 Carry out calculations involving the circumference and area of a circle. (Answers may be asked for in multiples of π.)
E5.3.2 Solve problems involving the arc length and sector area as fractions of the circumference and area of a circle.
E6.4 Solve problems using sine and cosine rules and the area formula for triangles.
Solution:
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