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The area of a sector of a circle is 3\(cm^{2}\). If the sector subtends an...

Further Mathematics
WAEC 2006

The area of a sector of a circle is 3\(cm^{2}\). If the sector subtends an angle of 1.5 radians at the centre, calculate the radius of the circle.

  • A. 1 cm
  • B. \(\sqrt{2}\) cm
  • C. 2 cm
  • D. 4 cm
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Correct Answer: Option C
Explanation

The area of sector in radians = \(\frac{r^{2} \theta}{2}\)

\(3 cm^{2} = \frac{1.5 \times r^{2}}{2}\)

\(r^{2} = \frac{3 \times 2}{1.5} = 4\)

\(r = 2 cm\)


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