PQR is a sector of a circle centre O, radius 4cm. If PQR = 30o,...

WAEC 2008

PQR is a sector of a circle centre O, radius 4cm. If PQR = 30^o, 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

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Correct Answer: Option A

Explanation

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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PQR is a sector of a circle centre O, radius 4cm. If PQR = 30o,...

Correct Answer: Option A

Explanation

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