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
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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
Answer: C) 4312 sq.m
SOLUTION
Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.
2πs2πs = 264 and 2πl2πl = 352
s = 2642π2642π and l = 3522π3522π
Difference between the areas =πl2−πs2πl2-πs2
= π(1762π2−1322π2)π1762π2-1322π2
= 1762π−1322π1762π-1322π
= (176 - 132)(176 + 132) / ππ
= (44 x 308) / (22/7) = 4312 sq.m
A) 2413 sq.m
B) 1234 sq.m
C) 4312 sq.m
D) 2143 sq.m
Answer: C) 4312 sq.m
SOLUTION
Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.
2πs2πs = 264 and 2πl2πl = 352
s = 2642π2642π and l = 3522π3522π
Difference between the areas =πl2−πs2πl2-πs2
= π(1762π2−1322π2)π1762π2-1322π2
= 1762π−1322π1762π-1322π
= (176 - 132)(176 + 132) / ππ
= (44 x 308) / (22/7) = 4312 sq.m
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Hiiii....
Smaller radius is 21 cm....
Smaller radius is 21 cm....
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