Question

2. The radius of two circles are 8cm and 6cm respectively. Find the radius of the
Circle having area equal to the sum of the area of the two circle. ​

Answer 1

Answer:

Answer: 318

Explanation:

I hope this helps you out. Please send feed back or Brainlist if this was helpful!

Answer 2

GIVEN:-

$\small\sf{Radius\:of\:Circle\:1,r1=8cm}$

$\small\sf{Radius\:of\:Circle\:2,r2=6cm}$

━━━━━━━━━━━━━━━

$\small\sf{Area\:of\:Circle\:1={π\: r}^{2}}$

$\longrightarrow$$\small\sf{π×{(8)}^{2}}$

$\longrightarrow$$\small{\boxed{\sf{64π}}}$

━━━━━━━━━━━━━━━

$\small\sf{Area\:of\:Circle\:2={π\: r}^{2}}$

$\longrightarrow$$\small\sf{π×{(6)}^{2}}$

$\longrightarrow$$\small{\boxed{\sf{36π}}}$

━━━━━━━━━━━━━━━

$\small\sf{Area\:of\:Circle\:3=Area\:of\:Circle\:1+Area\:of\:}$

$\small\sf{Circle\:2}$

$\longrightarrow$$\small\sf{{πr}^{2}=64π+36π}$

$\longrightarrow$$\small\sf{{πr}^{2}=100π}$

$\longrightarrow$$\small\sf{{r}^{2}=√100}$

$\longrightarrow$$\small{\boxed{\sf{r=100cm}}}$