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Q.
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.
2413 sq.m
B.
1234 sq.m
C.
4312 sq.m
D.
2143 sq.m
View Answer
Correct choice: C
Explanation:
Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively. 2πs = 264 and 2πl = 352 s = 264/2π and l = 352/2π Difference between the areas =πl2−πs2 = π(1762/π2−1322/π2) = 1762π−1322π = (176 - 132)(176 + 132) / π = (44 x 308) / (22/7) = 4312 sq.m
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