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Trigonometry — Question 303

Original QCE Vault practice · 3 marks

Q303 · Practice questionTechnology-freeSimple familiar3 marks

QUESTION 303 (3 marks)

A circular window has radius

6

cm. A chord subtends an angle of

\dfrac{2\pi}{3}

radians at its centre. The smaller segment is shaded.

Circle centred at O, radius 6 cm. Two radii enclose angle 2pi/3; the minor segment above their chord is hatched. Not to scale.

a)

Determine the exact area of the sector bounded by the two radii and the minor arc.

[1 mark]

b)

Determine the exact shaded area.

[2 marks]

Question linkSyllabus coverage

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