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Area of first circle=r² =*64=64 Area of second circle=r² =*36=36 Sum=100 Area of final circle=100 100=r² ∴r²=100 ∴r=10cm ∴Radius of required circle is 10cm

radii of first circle=8cm area of first circle=πr² =π(8)²=π64 cm² radii of second circle =6cm area of second circle=πr²=π(6)²=π36cm² Sum of two circles=π64+π36=π[100] cm² now,area of sum of two cirlces=100π=πr² ⇒r²=100 ⇒r=10cm