Question

Find the area of the shaded region.
($\mathrm{\pi }=3.14,\sqrt{3}=1.73$)

Answer 1

Area of the segment = r² $\left[\frac{\mathrm{\pi \theta }}{360}-\frac{\mathrm{sin\theta }}{2}\right]$

= $r^2\left[\frac{3.14\times 60}{360}-\frac{\sin 60°}{2}\right]$

= ${12}^2\left[\frac{3.14\times 60}{360}-\frac{\sqrt{3}}{4}\right]$

= $144\left[0.523-0.433\right]$
= 12.96 cm²
Thus, the area of the shaded region is 12.96 cm².