Question

find the equation of circle with r=√10\2 , c (0,0)​

Answer 1

$\purple{ \sf{equation \: to \: circle \: is \: given \: by \: : }}$

${(x - x_{1})}^{2} + {(y - y_{1})}^{2} = {r}^{2}$

$\purple{ \sf{where : }}$

• $r-radius$
• $c=(x_{1},y_{1})$

$\purple{ \sf{here : }}$

• $r = \frac{ \sqrt{10} }{2}$
• $c=(0,0)$

$\implies {(x - 0)}^{2} + {(y - 0)}^{2} = {( \frac{ \sqrt{10} }{2} )}^{2}$

$\implies {x }^{2} + {y }^{2} = \frac{100}{4}$

$\orange{ \therefore 4{x }^{2} + 4{y }^{2} = 100 }$

HOPE IT HELPS!!