Question

the radii of two circles are 15cm and 12cm respectively. the radius of the circle which has circumference equal to the same of the circumference of the two circles is​

Answer 1

Aиѕωєя: Let the radius of required circle =r cm

Radius of 1st circle r1 = 15cm

Radius of 2nd circle r1 =12cm

As per the question

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

Circumference of small circle =2πr1

=2π×15

=30π

Circumference of small circle =2πr2

= 2π×12

= 24π

Now,

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

2πr = 30π + 24π

2πr = 54π

r= 2π54π

r=27cm

Hence, radius of new circle is 27 cm.

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