Question

The area of a square whose side is a diameter of a circle of area 4s^2 π is
a) 252
b) 452
c) 1682
d) 6452​

Answer 1

AnswEr :

• Area is 16 s² (Value isn't their in your options !!) .

⠀⠀━━━━━━━━━━━━

GivEn :

• Area of a square is the diameter itself of a circle with area 4s²π.

SoluTion :

As the area of circle is given, which is 4s²π !!

We know that,

• Area of circle = πr²

which mean's,

$\dashrightarrow \sf \: \: 4 {s}^{2}\pi = \pi {r}^{2} \\ \\ \\ \dashrightarrow \sf \: \:4 {s}^{2} = {r}^{2} \\ \\ \\ \dashrightarrow \sf \: \:r = \sqrt{4 {s}^{2} } \\ \\ \\ \dashrightarrow \sf \: \:{ \underline{ \boxed{ \sf{ \purple{ \: r = 4s \: }}}}}\: \bigstar$

⠀⠀━━━━━━━━━━━━

Hence,

$\dag \: \: {\large{ \underline{ \underline{ \sf { \orange{Area \: of \: the \: square : - }}}}}}$

$\dashrightarrow \sf \: \: \: {l}^{2} \\ \\ \\ \dashrightarrow \sf \: \: \: {4s}^{2} \\ \\ \\ \dashrightarrow \sf \: \: \:4s \times 4s \\ \\ \\ \dashrightarrow \sf \: \: \:{ \underline{ \boxed{ \sf{ \blue{ \: 16 {s}^{2} \: }}}}} \: \bigstar$

Therefore, 16s² is the area of a square whose side is diameter of a circle of area 4s²π.

⠀⠀━━━━━━━━━━━━