Question

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

Answer 1

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Answer 2

$\huge\tt{GIVEN:}$

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

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

• The area of the square

$\huge\tt{SOLUTION:}$

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