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A sector of a circle has an area of 55 cm2. If the radius of...

Mathematics
JAMB 2005

A sector of a circle has an area of 55 cm2. If the radius of the circle is 10 cm, calculate the angle of the sector
[π = 22/7]
  • A. 45o
  • B. 63o
  • C. 75o
  • D. 90o
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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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