The radius of a circle whose area is equal to the sum of of the areas of two circles with radius 8cm and 15cm
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Given two circle radii are 5 cm and 12 cm
Then area of circle 5 cm =πr
2
=π(5)
2
=25π sq cm
And area of circle radius 12 cm =πr
2
=π(12)
2
=144πsq cm
So area of circle whose area equal to sum of rheas two circle=25π+144π=169π sq cm
Let the radius of sum circle =R cm
∴πR
2
=169π⇒R
2
=169⇒R=13 cm
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1
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