Question

circle with radius 8 cm will be congruent to other circle ​

Answer 1

10 Cm

$\boxed{explained}$

Let R be the radius of the new circle.

Now the sum of the areas of the circles having radius 8 Cm and 6 Cm is π ( 8² + 6² ) Cm².

Then by the problem, we've,

π × R² = π ( 8² + 6² )

or, R² = 10²

or, R = 10. [ Since radius can't be negative]

So the radius of the new circle is 10Cm.

Answer 2

Answer:

$10cm {}^{2}$

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