waecmaths question:
XOY is a sector of a circle centre O of radius 3.5cm which subtends an angle of 144o at the centre. Calculate, in terms of the π, the area of the sector.
Option A:
1.4 π cm2
Option B:
2.8 π cm2
Option C:
4.9 π cm2
Option D:
9.8 π cm2
waecmaths solution:
$\text{Area of sector}=\frac{\theta }{{{360}^{\circ }}}\times \pi {{r}^{2}}=\frac{{{144}^{\circ }}}{{{360}^{\circ }}}\times \frac{22}{7}\times {{(3.5)}^{2}}=4.9\pi c{{m}^{2}}$
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