Mathematics
WAEC 2012
The diagram is a circle with centre P. PRST are points on the circle. Find the value of < PRS
-
A.
144o
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B.
72o
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C.
40o
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D.
36o
Correct Answer: Option A
Explanation
Reflex < POS = 2x (angle at centre is twice that at circumference)
reflex < POS + < POS = 350o(angles at a point)
i.e. 2x + 8x = 360o
10x = 360o
x = \(\frac{360}{10}\)
= 36o
< PRS = \(\frac{1}{2}\)
< POS(< at centre twice that circumference)
= \(\frac{1}{2}\) x 8x = 4x
4 x 36o
< PRS = 144
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