The shaded portion of the figure, given along side,shows two concentric circles. If the circumference of the two circles are 396cm and 374cm, find the area of the shaded portion.
1347.5cm2
1047.5cm2
1247.5cm2
2347.5cm2
A
1347.5cm2
B
1047.5cm2
C
1247.5cm2
D
2347.5cm2
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Solution
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Given, 2πr=374cm 2πR=396cm Therefore, 2πr=374cm =>r=374×72×22 =59.5 2πR=396cm =>R=396×72×22 =63 Area of shaded portion=(πR2−πr2)cm2 =π[(63)2−(59.5)2]cm2 =π(3969−3540.25) =1347.5cm2
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