Question

If the perimeter of a square is equal to the radius of a circle whose area is 39424 sq.cms., what is the area of the square?

Answer 1

HEY BUDDY !!!

HERE'S THE ANSWER..

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♠️ First we'll find the radius of circle with the help of area . Given :- 39424 cm^2

✔️ Area of circe = π ( r )^2

=> Area = 39424 cm^2

=> π ( r )^2 = 39424 cm^2

=> 22 / 7 × ( r )^2 = 39424 cm^2

=> ( r )^2 = 39424 × 7 / 22

=> ( r )^2 = 12544

=> r = √ 12544

=> [ r = 112 cm ]

⏺️ Given perimeter of square is equal to radius of circle , i.e ( a is side of square )

✔️ 4 a = 112

=> a = 112 / 4

=> [ a = 28 cm ]

♠️ Now we'll find area of square having side 20 cm

⏺️ Area = ( a )^2

=> Area = 28 × 28

=> [ Area = 784 cm^2 ]✔️✔️

▶️ Area of square is 784 cm^2

HOPE HELPED..

$\bf{ {JAI \: HIND}}$

:)

Answer 2

✨Here is your Answer✨

Let the side of a square= a cm and radius of circle = r cm

$\bold{given \: 4a = r}$

Also Area of square=
$\pi \: {r}^{2 \:} = 39424$

${r}^{2} = 12544 \: or \: radius \: = 112$

So
$a = \frac{r}{4} = \frac{112}{4} = 28$

Hence area of square
$= {a}^{2} = {28}^{2} = 784 {cm}^{2}$