question_answer

The circular grass lawn of radius 28 m has a path of width 7 m around it on the outside. What is the area of the path?

A)  \[1300\text{ }sq.\text{ }m.\]              

B)  \[1447\text{ }sq.\text{ }m.\]    

C)  \[1781\text{ }sq.\text{ }m.\]              

D)  \[1386\text{ }sq.\text{ }m.\]

Correct Answer: D

Solution :

(d): Outer dia \[=28+7=35\] Area \[=\pi ({{R}^{2}}-{{r}^{2}})=\frac{22}{7}\times \left( 35+28 \right)\left( 35-28 \right)\] \[=22\times 63=1386sqm.\]