Two circles touch each other internally. The sum of the areas of both circles is \( 116 \pi \mat...

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Two circles touch each other internally. The sum of the areas of both circles is \( 116 \pi \mathrm{cm}^{2} \) and the distance between their centres is \( 6 \mathrm{~cm} \). Which among of the following is/are true?
a. radius of the bigger circle is \( 10 \mathrm{~cm} \)
b. radius of the bigger circle is \( 15 \mathrm{~cm} \)
c. radius of the smaller circle is \( 4 \mathrm{~cm} \)
d. radius of the smaller circle is \( 10 \mathrm{~cm} \)
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