Question

if a circle is inscribed in a square of area 4 then the area of the circle is?
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Answer 1

Answer:

Area of Circle = 6.28 sq. units

Step-by-step explanation:

If a circle is inscribed in a square -

Diameter of Circle = Side of Square

Let side of square = a

A/Q

Area of Square = 4

or $a^{2}$ = 4

∴ a= 2

⇒ Diameter of circle = 2

So, Radius of circle (r) =  d/2=2/2=1

⇒ Area of circle = 2π$r^{2}$= 2π*1= 2π

∴ Area of Circle = 6.28 sq. units

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Answer 2

Given that

Circle is inscribed in square having area 4

To find

area of circle

Solution

As circle is inscribed in square then diameter of circle is equal to side of square.

Let d is diameter and a is side of square

as

$area \: of \: square = square \: of \: its \: side \\ 4 = {a}^{2} \\ a = 2$

as a is equal to d then radius r will be 1

$area \: of \: circle = \pi \times {r}^{2} \\ = 3.14$

area of circle is 3.14