The radii of two circles are 48cm and 13cm. Find the area of the circle which has its circumference equal to the difference of the circumferences of the given two circles.
3850cm2
1850cm2
2850cm2
4850cm2
A
1850cm2
B
3850cm2
C
4850cm2
D
2850cm2
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Solution
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Given, radii of the two circles=48cm and 13cm Difference of circumference=2π(48)−2π(13) =70π Now, Let the radius of the circle be r Therefore, 2πr=70π =>r=70×2272×227 =>r=35cm Therefore, Area of the circle=πr2 =227×35×35 =3850cm2
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