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The radii of two circles are 19cm and 9cm respectively. Find the radius and area of the circle which has circumferences is equal to sum of circumference of two circles.

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Radius of 1st circle = 19 cm

Radius of 2nd circle = 9 cm

Circumference of 1st circle = 2π(19) = 38π cm

Circumference of 2nd circle = 2π (9) = 18π cm

Let radius of required circle = R cm

Circumference of required circle = 2πR = c1+c2

2πR = 38π + 18π

2πR = 56π

R = 28 cms

Area of required circle = πr2

=22/7 x 28 x 28

=2464 cm2

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