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WAEC Mathematics 2012 Paper
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© africaexams.com
Question : 15
Total: 49
The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector
360
o
252
o
246
o
234
o
Validate
Solution:
Let 0 = angle of the minor sector
angle of the major sector = 360 -
θ
(angle at a point)
2
π
r
= 54 + 126(i.e circumference of minor and major arc)
2
π
r
=
180
o
r =
180
2
π
=
90
π
Lenght of ninor arc
=
θ
360
×
2
π
r
54 =
θ
360
×
3
π
r
θ
=
360
×
54
2
π
r
but r =
90
π
substituting
90
π
for r
θ
=
360
×
54
×
π
2
×
π
×
90
θ
=
2
×
54
=
108
o
angle of the major sector = 360 - 108
o
= 252
o
© africaexams.com
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