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PQR is a sector of a circle centre O radius 4cm... - WAEC Mathematics 2008 Question

PQR is a sector of a circle centre O, radius 4cm. If PQR = 30o, find, correct to 3 significant figures, the area of sector PQR. [Take \(\pi = \frac{22}{7}\)]
A
4.19cm2
B
8.38cm2
C
10.5cm2
D
20.9cm2
correct option: a
Given q2 = 25 - r2.....(1)

from pythagora's theorem

P2 = q2 + r2.......(2)

put (1) into (2)

p2 = 25 - p2 + x2

p2 = 25

p = \(\sqrt{25}\)

= 5
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