Question

The perimeter of a square is equal to the radius of a circle having area 39424 sq cm, what is the area of square

Answer 1

heyy mate here is your answer...

Let the side of square =a cm and radius of circle=r cm
Given, 4a= r
Also Area of square= Pi*r^2= 39424, r^2=12544 or r=112
So a= r/4= 112/4=28
Hence Area of square=a^2=28^2=784 cm^2
hope it helps you...

Answer 2

$\rule{200}3$

$\huge\tt{GIVEN:}$

• The perimeter of the square is equal to the radius of a circle.
• The area of circle is 39424cm²

$\rule{200}3$

$\huge\tt{TO~FIND:}$

• The area of the square

$\rule{200}3$

$\huge\tt{SOLUTION:}$

First of all,

↪The radius of the circle = √ (39424×7 / 22)

↪The radius of the circle = √(275968/22)

↪The radius of the circle = √(12544)

↪The radius of the circle = 112 centimetres

Now,

Perimeter of that square = 112 centimetres

↪Side of the square = 112 ÷ 4

↪Side of the square = 28 centimetres

Now,

Finding the area of the square,

↪AREA OF A SQUARE = A²

↪Area of the square = (28)²

↪Area of the square = 784 cm²

$\rule{200}3$