The radii of two circles are $19 c m$ and $9 c m$ 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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Solution

Circumference of Circle $=$ Circumference of circle with radius $19 c m +$ Circumference of circle with radius $9 c m$
$2 π r = 2 π (19) + 2 π (9)$
$2 π r = 38 π + 18 π$
$r = 28$
Radius of the circle is $28 c m .$

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

Unless stated otherwise use

π = \frac{22}{7}

The radii of two circles are

19 c m

and

9 c m

respectively. Find the radius of the circle which has a circumference equal to the sum of the circumference of the two circles.

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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.

Circumference of Circle = Circumference of circle with radius 19cm+ Circumference of circle with radius 9cm2πr=2π(19)+2π(9)2πr=38π+18πr=28Radius of the circle is 28cm.

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

Circumference of Circle $=$ Circumference of circle with radius $19 c m +$ Circumference of circle with radius $9 c m$
$2 π r = 2 π (19) + 2 π (9)$
$2 π r = 38 π + 18 π$
$r = 28$
Radius of the circle is $28 c m .$