Mathematics
WAEC 2014
In the diagram, O is the centre of the circle of the circle, PR is a tangent to the circle at Q < SOQ = 86
o. Calculate the value of < SQR.
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A.
43o
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B.
47o
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C.
54o
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D.
86o
Correct Answer: Option A
Explanation
Construction: draw a line from Q to point P and another line from S to point P.
< SOQ = 2< QPS (< at centre is twice < on the circumference)
< QPS \(\frac{86}{2} = 43\)
< SQR = < QPS ( < between a chord and tangent = < in the alternate segment)
< SQR = 43o
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