Question

Find the area in ${cm}^2$ of the shaded region where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre. [2 MARKS]

Answer 1

Concept: 1 Mark
Application: 1 Mark

Area of shaded region = Area of major sector OPQ + Area of equilateral $\Delta OAB$

$\frac{300}{360}\times \pi \times 6^2+\frac{\sqrt{3}}{4}\times {12}^2$

$\frac{660}{7}+36\sqrt{3}{cm}^2$