Question on: WAEC Mathematics - 1998
In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate, correct to three significant figures, the area of sector OPQ
A
3.403cm2
B
5.350cm2
C
10.99cm2
D
157.1cm2
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Correct Option: B
To calculate the area of sector OPQ, we can use the following steps:
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Formula: The area of a sector is given by the formula: Area = (θ/360) * πr² where θ is the angle of the sector in degrees, and r is the radius of the circle.
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Identify Values:
- θ = 50°
- r = 3.5 cm
- π = 3.142
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Substitute and Calculate: Area = (50/360) * 3.142 * (3.5)² Area = (50/360) * 3.142 * 12.25 Area ≈ 0.138888 * 38.485 Area ≈ 5.345 cm²
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Round to Three Significant Figures: The area of the sector OPQ is approximately 5.35 cm².
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