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    				| 1. | Find the radius of a circle whose circumference is equal to the sum of the circumference of two circles of radii 15 cm and 18 cm . | 
| Answer» Let the radius of a circle be r. `:.` Circumference of a circle = `2pir` Let the radii of two circles are `r_(1) and r_(2)` whose values are 15 cm and 18 cm respectively. i.e., `r_(1) ` = 15 cm and `r_(2)` = 18 cm Now, by given condition , Circumference of circle= Circumference of first circle + Circumfernce of second circle `rArr 2pir = 2pir_(1) + r_(2)` `rArr r = r_(1) + r_(2)` `rArr r= 15 + 18` `:.` r = 33cm Hence, required radius of a circle is 33 cm . | |