Question

the radii of two circles are 19 cm and 9 second respectively find the radius of the circle which has a circumference equal to the sum of the circumstances of the two circles give the answer

Answer 1

Step-by-step explanation:

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Answer 2

Radius of bigger circle = 19 cm = R

Radius of smaller circle = 9 cm = r  

Circumference of bigger circle + Circumference of smaller circle = circumference of new circle  

Let the radius of the new circle be R'  

so ,

2πR + 2πr  = 2πR'

2π × (R + r) = 2π × R'

2π gets cancelled on both sides,

R + r = R'

19 + 9 = R'

28 = R'

Hence,proved

Radius of new circle = R' = 28 cm

Hope this helps you !