The radio of two concentric circles are 28 cm and 18 cm,
respectively, to the perimeter and the area of the circles are
numerically equal. Then find the radius of the circle.
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Let the radius of required circle =r cm
Radius of 1st circle r
1
=9 cm
Radius of 2nd circle r
2
=19 cm
As per the question
Circumference of the required circle = Sum of circumference of two circles
Circumference of small circle =2πr
1
=2π×9
=18π
Circumference of small circle =2πr
2
=2π×19
=38π
Now,
Circumference of the required circle = Sum of circumference of two circles
2πr=18π+38π
2πr=58π
r=
2π
56π
r=28 cm
Hence, radius of new circle is 28 cm.
Hope its helps you
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