Question

the radii of two circle are 19cm and 9cm respectively Find the radius of circle which has circumference equal to the sum of the circumference of the two circle

Answer 1

radius of 1st circle= 19cm
circumference=2 π radius
circumference= 836/7

radius of 2nd circle= 9cm
circumference=2π radius
circumference= 396/7

the radius of 3rd circle =?
circumference= sum of 1st and 2nd
circumference= 1232/7

circumference= 2π radius
1232/7=. 2* 22/7 radius
1232/7*7= 44radius
1232/44= radius of 3rd circle
radius of third circle is 28 cm
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Answer 2

Given , Radius of first circle =19cm
Radius of second circle =9cm
Circumference of circle I =2πr=2×22/7×19=119.4
Circumference of circle II=2×22/7×9=56.5
Given that... Circumference of first CIRCLE+ circumference of second CIRCLE=Circumference of Third circle
119.4+56.5=2πr
175.9=2πr
r=175.9×7/22×2
r=1231.3/44
r=28cm (approx.)

Thank You!

{NOTE: the answer is exactly 28..you can get it by not converting circumference into decimals..on keeping it in fraction form and then solving the answer will be 28cm}