Question

1. The radii of two circles are 19 cm 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

here, r1 = 19cm, r2= 9cm

to find = r

c = c1 + c2

2πr = 2πr1 + 2πr2

2πr = 2π (r1 + r2)

2πr / 2π = r1 + r2

r = 19 + 9

r = 28cm

the radius of the circle is 28cm.

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Answer 2

Answer:

R = 28

Step-by-step explanation:

it's too simple

just take one circle's radius r1 =19 and r2 = 9 .

and the big circle whose circumference is equal and we don't know is R .

now as given in question -

circumference of big circle = sum of circumference of

smaller circle

now put the formula with respective radius ,

2pi R = 2pi r1+ 2pi r2

thus on simplify you get

R= r1+ r2

thus , R = 28

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