(a)
In the diagram, O is the centre of the circle radius and ∠ If the area of the shaded part is 504 2, calculate the value of
(b) Two isosceles triangles are drawn on opposite sides of a common base PQ. If ∠, calculate the value of ∠.
This question was also reported to have been attempted by majority of the candidates and their performance was described as fair.
In part (a), a good number of the candidates were reported not to apply the correct formula. Others who were able to apply the formula correctly were reported not to simplify correctly. Candidates were expected to recognize the shaded portion as a segment of a circle. The area of the shaded portion would be gotten by subtracting the area of triangle O from the area of sector OXKY.Area of triangle OXY= r2sin90o= . Area of sector OXKY . Area of shaded portion . Solving this equation gave r.
In part (b), majority of the candidates were reported not to draw the required diagram correctly and this affected their ability to solve the question correctly. The expected diagram was
From the diagram, angle SQR =(180 -109)000 0 101.50
and ∠
If the area of the shaded part is 504 
2, calculate the value of 
are drawn on opposite sides of a common base PQ. If ∠
, calculate the value of ∠
.
from the area of sector OXKY.Area of triangle OXY= 
r2sin90o= 
. Area of sector OXKY 
. Area of shaded portion 
. Solving this equation gave r
.
(180 -109)0
0
0 
0 
101.50