Question

Please answer my question in the atttachment

Answer 1

hey ...here is your answer...❤️
area of shaded region:- area of circle-area of square.
given diagonal=2r
and
we know that, diagonal=√2*side
2r=√2*side
side=2r/√2
side=√2r........................................................()
shaded region= πR²-(ST)²
=πr²-(√2r)²
=πr²-2r²
=r²(π-2)____.____.____.____answer
hence, option (a) is correct.
don't forget to mark as brainleist.

Answer 2

$\bold{Answer : }$

(A) r² ( π - 2

$\bold{Explanation :}$

$\underline{Relation\: between\: Diagonal\: and\: side\: of \:square}$

Diagonal = √2*side

So,we have to find the area of shaded portion.

So,For it we have to subtract the area of circle with area of square.

Here,
Area of circle = π r²
Area of square = a²

Hey,side of sqaure is not given . So, what happened ?

We have our 20th century brain we can find it in one whistle . isn't it ?

So,
Hey,wait sometimes ago we talked about the relation between side and sqaure .

I hope may you remember that is -

Diagonal = √2 * side

If you didn't remember then go and have some nuts now !

So,

We know , diagonal = 2r [I hope you know]

2r = √2*side

side = 2r/√2

side = √2r

So,(finally) area of sqaure = a²

= (√2r)²

= 2 r²

So,
Subtracting area of circle with area of square

Area of circle - Area of square

πr² - 2 r²

Taking r² common

r²(π - 2)

So,
r²(π - 2) is correct and is your answer.

❤I HOPE MAY IT HELPS YOU ❤