Two circles touch internally. The sum of their areas is 116π sq. cm and distance between their centres is 6cm. Find the radii of the circles.
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Two circles touch internally.
The sum of their areas is 116π cm².
The distance between their centres is 6 cm.
Find the radii of the circles.Code:* * * * * * * * * * * - * o * - : * | * : : * 6 R * * | * * : : * o * - : * * | * * r - * * * -
The radius of the large circle is
The radius of the small circle is
We see that: .
The area of the large circle is: .
The area of the small circle is: .
The sum of the areas is
So we have: .
. . Now solve for