The radius of 2 circles are 9cm and 12 cm. The circumference of a circle whose area is equal to sum of the areas of the given 2 circle is
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Radius of 1st circle=9 cm
Area of circle=πr2=22/7×9×9=254.5 cm2___(1)
Radius of 2nd circle=12 cm
Area of circle=πr2=22/7×12×12=452.5 cm2__(2)
Sum of areas of 2 circle=(1)+(2)
=254.5+452.5=707 cm2
Now,πr2=707
r2=707×7/22
r2=224.9
r=15 cm
Circumference of the circle with radius 15 cm=
2πr=2×22/7×15=94.2cm
Area of circle=πr2=22/7×9×9=254.5 cm2___(1)
Radius of 2nd circle=12 cm
Area of circle=πr2=22/7×12×12=452.5 cm2__(2)
Sum of areas of 2 circle=(1)+(2)
=254.5+452.5=707 cm2
Now,πr2=707
r2=707×7/22
r2=224.9
r=15 cm
Circumference of the circle with radius 15 cm=
2πr=2×22/7×15=94.2cm
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