Question

The radii of two circles are 8 cm and 6 cm, respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

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Answer 1

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Answer 2

$\underline{\boxed{\bold\red{Question}}}$

The radii of two circles are 8 cm and 6 cm, respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

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$\underline{\boxed{\bold\blue{Answer}}}$

$\orange{Let \: the \: radius = r}$

$\red\star \: \orange{so \: πr² = πr1²+πr2²}$

$\red\star \: \orange{r² = r1²+r2²}$

$\red\leadsto\orange{r² = (8)²+(6)²}$

$\red\leadsto\orange{r² = 64+36}$

$\red\leadsto \: \orange{r² = 100}$

$\red\leadsto \: \orange{r = √100}$

$\red\leadsto\orange{ r = 10 cm}$

[Hope this helps you.../]