QUESTION 8
- The probabilities that Akafi and Iniola will pass an examination are
and 
respectively. Find the probability that only Iniola will pass the examination.
In the diagram, circle XYZ is inscribed in an equilateral triangle PQR. If O is the centre of the circle and |XY| = 10 cm, calculate, correct to the nearest whole number:
XOY;- Area of the major sector XZY. {Take π =
Observation
The report from the Chief Examiner stated that most Candidates’ avoided this question and those who attempted it only did well in part (a).
In part(a), they did as expected by finding pro(that only Iniola will pass) = 
= 
.
In part (b), they were expected to note that 
and 
are tangents to the circle at X and Y and as such 
. Also, 
is an equilateral triangle. Then, 
. Furthermore, 
, so that 
, then 
.
In part (bii), from 
, the radius of the circle is 
then, r = 5.7735 cm.
The value of 
so that Area = 
Area = 70 cm2