The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
Answer: C
Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 264 and 2∏l = 352
s = 264/2∏ and l = 352/2∏
Difference between the areas = ∏l⊃2; - ∏s⊃2;
= ∏{176⊃2;/∏⊃2; - 132⊃2;/∏⊃2;}
= 176⊃2;/∏ - 132⊃2;/∏
= (176 - 132)(176 + 132)/∏
= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m