question_answer

The circular grass lawn of radius \[35\text{ }m\]has a path of width \[7\text{ }m\] around it on the outside. What is the area of the path?

A)  \[1496\,{{m}^{2}}\]       

B)         \[1450\,{{m}^{2}}\]

C)  \[1576\,{{m}^{2}}~\]    

D)         \[1694\,{{m}^{2}}\]         

Correct Answer: D

Solution :

\[r=35\text{ }m;\text{ }R=35+7=42\text{ }m\] Area of circular path \[=\pi (R+r)\,(R-r)\] \[=\frac{22}{7}(42+35)\,(42-35)=1694\,{{m}^{2}}\]