A sector of a circle has an area of 55 cm. If the radius of the circle is 10 cm, calculate the angle of the sector [π = 22/7]

  • A 45°
  • B 63°
  • C 75°
  • D 90°
jamb 2005mathematics

The correct answer is B. 63°

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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