Mathematics
JAMB 2005
A sector of a circle has an area of 55 cm
2. If the radius of the circle is 10 cm, calculate the angle of the sector
[π = 22/7]
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A.
45o
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B.
63o
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C.
75o
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D.
90o
Correct Answer: Option B
Explanation
Area of a sector = \(\frac{\theta}{360}\times \pi r^2\\55=\frac{\theta}{360}\times \frac{22}{7}\times \frac{10\times 10}{1}\\\theta=\frac{360 \times 55 \times 7}{22 \times 10 \times 10}\\\theta = 63^{\circ}\)
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