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: 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)