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in Areas Related To Circles by (65.5k points)

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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Radius of 1st Circle, r1 = 19 cm. 

Circumference of 1st circle, C1 = 2πr1 

Radius of 2nd circle, r2 = 9 cm. 

Circumference of 2nd circle, C2 = 2πr2 

Sum of the circumferences of the two circles 

= 2 × 22 × 4 

∴ C3 = 176 cm. 

Circumference of 3rd circle, C3 = 176 cm. then, r3= ? 

2πr3 = C3 

∴ r3 = 28 cm

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