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Question -

The radii of two circles are 19 cm and 9 cm respectively. Find the radius and area of the circle which has its circumference equal to the sum of the circumferences of the two circles.



Answer -

Radius of the first circle (r1) = 19 cm
and radius of the second circle (r2)= 9 cm S
um of their circumferences = 2πr1 +2πr2
= 2π (r1 + r2) = 2π (19 + 9) cm
= 2π x 28 = 56π cm
Let R be the radius of the circle whose circumference is the sum of the circum­ferencesof given two circles, then

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