question_answer

In the following figure, the area of shaded region is

A)  \[32.2\,c{{m}^{2}}\]          

B)  \[24.4\,c{{m}^{2}}\]

C)  \[35.4\,c{{m}^{2}}\]                      

D)  \[31.4\,c{{m}^{2}}\]

Correct Answer: D

Solution :

    Area of region II \[=\frac{22}{7}(4)-\frac{22}{7}(1)\] \[=\frac{66}{7}c{{m}^{2}}\] Area of region\[\text{I}=\frac{22}{7}16-\frac{22}{7}(9)\] \[=\frac{154}{7}=22\,c{{m}^{2}}\] \[\therefore \]Required area = Area of region I + Area of region II \[=\frac{154}{7}=\frac{66}{7}=31.4\,c{{m}^{2}}\].