Question

The area of shaded region of the figure given below is ?

• A. $4.28cm2$
• B. $5.76cm2$
• C. $3.25cm2$
• D. $18.84cm2$
• E. $Noneofthese$

Answer 1

The correct option is C $3.25cm2$

Given radius of circle r=6cm

As $\Delta AOB$ is an equilateral triangle

so $\angle AOB={60}^{\circ }$

Area of Sector AOBA=$\frac{\pi .r^2.60}{360}=\frac{3.14\times 6^2\times }{6}=18.84c{m}^2$

Area of $\Delta AOB=\frac{\sqrt{3}}{4}{r}^2=\frac{\sqrt{3}}{4}\times 36=9\sqrt{3}=9\times 1.732=15.588c{m}^2$

Area of shaded region=Area of sector - area of triangle

$=18.84-15.588=3.252c{m}^2$