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Question

The radii of two circles are 25 cm and 18 cm. Find the radius of the circle which has a circumference equal to the sum of the circumference of these two circles.

A
43 cm
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B
12 cm
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C
34 cm
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D
40 cm
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Solution

The correct option is A 43 cm
The circumference of a circle =2πr
Let R be the radius of the circle which has a circumference equal to the sum of the circumferences of the two circles.
2πR=2π×25+2π×18
R=25+18=43 cm

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