The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ?

Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.  

  $2\mathrm{\pi s}$ = 264 and  $2\mathrm{\pi l}$ = 352  

 s =  $\frac{264}{2\pi }$ and l =  $\frac{352}{2\pi }$   

Difference between the areas = $\pi l2-\pi s2$   

  =  $\pi \frac{176}{2}-\frac{132}{2}$ 

  = $\frac{1762}{\pi }-\frac{1322}{\pi }$  

  = (176 - 132)(176 + 132) /  $\pi$  

  = (44 x 308) / (22/7) = 4312 sq.m