NOT TO SCALE $$\(A B\)$$ is a sector of a circle with radius $$\(9 \mathrm{~cm}\)$$ and centre $$\(O\)$$. The angle at $$\(O\)$$ is $$\(30^{\circ}\)$$. Calculate the area of this sector. Give your answer in terms of $$\(\pi\)$$. (C) UCLES 2017 $$\(0580 / 01 / \mathrm{SP} / 20\)$$
Exam No：0580/01 Year：2022 Question No：28
Answer:
12
Knowledge points:
C5.1 Use current units of mass, length, area, volume and capacity in practical situations and express quantities in terms of larger or smaller units. (Convert between units including units of area and volume.)
C5.2 Carry out calculations involving the perimeter and area of a rectangle, triangle, parallelogram and trapezium and compound shapes derived from these.
C5.3.1 Carry out calculations involving the circumference and area of a circle. (Answers may be asked for in multiples of π.)
C5.3.2 Solve simple problems involving the arc length and sector area as fractions of the circumference and area of a circle. (Where the sector angle is a factor of 360.)
C5.4.1 Carry out calculations involving the surface area and volume of a cuboid, prism and cylinder. (Answers may be asked for in multiples of π.)
C5.4.2 Carry out calculations involving the surface area and volume of a sphere, pyramid and cone. (Formulae will be given for the surface area and volume of the sphere, pyramid and cone in the question.)
C5.5 Carry out calculations involving the areas and volumes of compound shapes. (Answers may be asked for in multiples of π.)
Solution:
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