Question

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

Answer 1

Answer:

Step-by-step explanation:

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Radius (r1) of 1st circle = 19 cm

Radius (r2) or 2nd circle = 9 cm

Let the radius of 3rd circle be r.

Circumference of 1st circle = 2πr1 = 2π (19) = 38π

Circumference of 2nd circle = 2πr2 = 2π (9) = 18π

Circumference of 3rd circle = 2πr

Given that,

Circumference of 3rd circle = Circumference of 1st circle + Circumference of 2nd circle

2πr = 38π + 18π = 56π

→ r = 28 CM ________answer

Therefore, the radius of the circle which has circumference equal to the sum of the circumference of the given two circles is 28 cm.

hope it will help you

Answer 2

SOLUTION

Let the radius of first and second circle be

Let the radius of first and second circle ber1= 19cm and r2= 9cm

Sum of circumference

=) 2πr1 +2πr2

=) 2× 22/7×19 + 2×22/7 ×9

=) 2× 22/7( 19+9)

=) Now, let R be the radius of the new circle.

Then sum of circumference = circumference of new circle.

=) 2× 22/7(19+9)= 2× 22/7× R

=) R= 28cm

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