The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
A. 4192 sq m
B. 4304 sq m
C. 4312 sq m
D. 4360 sq m
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 = ∏l2 – ∏s2
= ∏{1762/∏2 – 1322/∏2}
= 1762/∏ – 1322/∏
= (176 – 132)(176 + 132)/∏
= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m