Let the radii of the two circles be r1 cm and r2 cm.Now, Sum of the radii of the two circles = 7 cm r1 + r2 = 7 ...............(i) Difference of the circumferences of the two circles = 88 cm ⇒ 2πr1 - 2πr2 = 8 `=> 2pi("r"_1 - "r"_2) = 8` `= ("r"_1 - "r"_2) = 8/(2pi)` `=> "r"_1 - "r"_2 = (8)/(2xx22/7)` `= "r"_1 - "r"_2 = (8xx7)/44` `r_1 - r_2 = 56/44` `r_1 - r_2 = 14/11`` .... (ii) adding (i) and (ii), we get `2"r"_1 = 91/11` `"r"_1 = 91/22` ∴ Circumference of the first circle = 2πr1 `=2xx22/7xx91/22` = 26 cm Also, `r_1 - r_2 =14/11` `91/22-"r"^2 = 14/11` `91/22 - 14/11 = "r"_2` `r_2 = 63/22` ∴ Circumference of the second circle = 2πr2 `= 2 xx 22/7xx63/22` = 18 cm Therefore, circumferences of the first and second circles are 18 cm and 26 cm, respectively. Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now |