Question

A circle of area 314 cm sq is inscribed in a square. What is the perimetre of the square

Answer 1

given the area of the circle = 314cm²

formula for the area of a circle is πr²

➡ 3.14 × r² = 314cm²

➡ r² = 314/3.14

➡ r² = 100

➡ r = √100

➡ r = √(10 × 10)

➡ r = 10cm

we know that diameter of a circle is double the length of it's radius.

therefore diameter of the circle = 10 × 2 = 20cm

now, this circle is inscribed in a square. and diameter of the circle inscribed in the square = length of the side of square

therefore the length of the side of the square = 20cm

hence, it's perimeter = 4 × side

= 4 × 20 $<p></p><p></p><p>= 80cm </p>$

Answer 2

Hey Buddy ! ☺



Given :-
the area of the circle = 314cm²

So,

πr² = 314cm²

therefore,

3.14 × r² = 314cm²

r² = 314/3.14

r² = 100

r = √100

r = √(10 × 10)

r = 10cm

therefore,
diameter of the circle = 10 × 2 = 20cm

Since, the circle is inscribed in a square.
Therefore,
Diameter of the circle inscribed in the square is equal to the length of the side of square.

So,
The length of the side of the square = 20cm

Also,
perimeter of a square = 4 × side

= 4 × 20 

= 80cm

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Hope it helps you buddy !☺☺

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