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.

Expert Solution

Radius of 1 circle = 19 cm

Radius or 2 circle = cm

Let the radius of 3 circle be .

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

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

Circumference of 3 circ rd st nd

le = 2π

Given that,

Circumference of 3 circle = Circumference of 1 circle + Circumference of 2 circle r

2πr =38π+18π

=56π

r = 2π =28

Therefore, the radius of the circle which has circumference equal to the sum of the

circumference of the given two circles is 28 cm.

28cm

Nipun Maity answered 2 years ago

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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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