passpadi

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 cm2

B.

32 π cm2

C.

16 π cm2

D.

8 π cm2

Correct Answer: 8 π cm2

Explanation

Diameter = 4√3 cm radius = 2√3 cm Area of major sector = θ/360 × πr2 θ = 360 − 120 = 240° = 240/360 × π × 12 = 8πcm2

Diameter = 4√3 cm radius = 2√3 cm Area of major sector = θ/360 × πr2 θ = 360 − 120 = 240° = 240/360 × π × 12 = 8πcm2
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