Question

the radii of two circles are 19 and 90 cm respectively. Find the radius of a circle which has the circumference is equal to the sum of circumference of two circles​

Answer 1

Answer:

R1=radius of first circle = 19 CM

R2= radius of second circle = 90 CM

R = radius of resultant circle

R= R1 + R2

= 19+90

= 109

so, radius of resultant circle is 109 CM

Answer 2

Answer:

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GIVEN

Radius of 1ˢᵗ circle=1=90cm

Radius of 2ⁿᵈcircle=2=19cm

Let the radius of required circle=r cm

According to the question,

=>Circumference of required circle=Sum of circumference of two circles.

• Circumference of small circle=2πr1=2π×90=180π
• Circumference of larger circle=2πr2 =2π×19=38π

Now,Circumference of required circle=Sum of circumference of two circles.

2πr=180π+38π

2πr=218π

r=109cm

Hence radius of new circle =109cm