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

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

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Circumference of 1st circle is given :   

    \\=\ 2\pi r_1\\\\=\ 2\pi \times 19\ =\ 38 \pi\ cm                                                             

And circumference of 2nd circle is :       =\ 2\pi \times 9\ =\ 18 \pi\ cm

Thus, the circumference of the new circle is   =\ 18\pi\ +\ 38\pi\ =\ 56\pi\ cm

or                      2\pi r =\ 56\pi

or                      r\ =\ 28\ cm

Hence, the radius of the new circle is 28 cm.

Posted by

Devendra Khairwa

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