Question

A square of diagonal 8 cm is inscribed in a circle find the area of shaded region

Answer 1

Where is the shaded region?

Your question is incomplete...

Answer 2

$\sf\green{Side\:of\:square=\frac{Diagonal}{√2}=\frac{8}{√2}cm}$

$\sf\green{Area\:of\:the\:square={( \frac{8}{ \sqrt{2} }) }^{2}={32cm}^{2}}$

$\large\sf\red{Clearly,}$

$\sf\red{diameter\:of\:the\:circle=}$

$\sf\red{Diagonal\:of\:the\:square=8cm}$

$\therefore$ $\sf{Area\:of\:the\:circle={πr}^{2}=π( { \frac{8}{2} )}^{2}=16π{cm}^{2}}$

$\sf{Hence,the\:area\:of\:the\:shaded\:region}$

$\longrightarrow$$\sf{Area\:of\:the\:circle-Area\:of\:the\:square}$

$\longrightarrow$${\boxed{\sf{(16π-32){cm}^{2}}}}$