Question

the radii of two circle are 19cm 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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Answer 1

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Answer 2

Answer:

28

Step-by-step explanation:

ANSWER

Let the radius of required circle =r cm

Radius of 1st circle r1=9 cm

Radius of 2nd circle r2=19 cm

As per the question 

Circumference of the required circle = Sum of circumference of two circles

Circumference of small circle =2πr1

                                                  =2π×9

                                                  =18π

Circumference of small circle =2πr2

                                                  =2π×19

                                                  =38π

Now,

Circumference of the required circle = Sum of circumference of two circles

2πr=18π+38π

2πr=58π

r=2π56π

r=28 cm

Hence, radius of new circle is 28 cm.

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