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

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Cheryl Stark · Accepted Answer

Step 1Radius of the 1st circle =r1=19cmRadius  of the 2nd circle =r2=9cmLet the radius of the 3rd circle be r.Circumference of the 1st circle =2πr1=2π(19)=38πCircumference of the 2nd circle =2πr2=2π(9)=18πCircumference of the 3rd circle =2πr also given that,Circumference of the 3rd circle=Circumference of the 1st circle+Circumference of the 2nd circle2πr=38π+18π2πr=56πr=56π2πr=28Answer: Therefore, the radius of the circle that has a circumference equal to the sum of the circumference of the two given circles is 28 cm.

twaza7fl · Accepted Answer

Step 1The radii r1 and r2 of two circle arer1=19cmr2=9cmTo evaluate: The radius of the circle which has circumference equal to the sum of the circumference of the two circlesStep 2Let the required radius of the circle is r which can be evaluated as followingCircumference of a circle with radius r=Circumference of a circle with radius r1+Circumference of a circle with radius r2⇒2πr=2πr1+2πr2⇒r=2πr1+2πr22π⇒r=r1+r2⇒r=19cm+9cm⇒r=28cmHence, the required radius is 28 cm

The radii of two circle are 19 cm amd 9

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