The radii of two circles are 19cmand 9cm respectively. Find the radius of the circle which has a circumference equal to the sum of the circumferences of the two circles.
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Given :-
The radius of the 1st circle = 19 cm
The radius of the 2nd circle = 9 cm
To Find :-
The radius of the circle which has a circumference equal to the sum of the circumferences of the two circles.
Solution :-
We know that,
Given that, radius of the 1st circle = 19 cm
Then,
Circumference of the 1st circle =
Given that, radius of the 2nd circle = 9 cm
Then,
Circumference of the 2nd circle =
According to the question,
The sum of the circumference of two circles =
Let the radius of the 3rd circle be 'r'
So,
∴ The circumference of the 3rd circle =
Given that, sum of the circumference of two circles = circumference of the 3rd circle
Hence,
Therefore, the radius of the circle which has a circumference equal to the sum of the circumferences of the two circles is 28 cm