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2002
Mathematics
JAMB
A chord of a circle subtends an angle of 120° degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.
A.
4π cm
2
B.
32 π cm
2
C.
16 π cm
2
D.
8 π cm
2
Correct Answer:
8 π cm
2
Explanation
Diameter = 4√3 cm radius = 2√3 cm Area of major sector = θ/360 × πr
2
θ = 360 − 120 = 240° = 240/360 × π × 12 = 8πcm
2
Diameter = 4√3 cm radius = 2√3 cm Area of major sector = θ/360 × πr
2
θ = 360 − 120 = 240° = 240/360 × π × 12 = 8πcm
2
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