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
Correct Answer: C. 2 cm
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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