Question

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

Answer 1

Perimeter of square is 80cm

Answer 2

The perimeter of the square is 80 cm.

Step-by-step explanation:

Given : A circle of area 314 sq.cm is inscribed in a square.

To find : What is the perimeter of the square ?

Solution :

As circle is inscribed in a square.

Side of a square = Diameter of the circle

A circle of area 314 sq.cm.

i.e. $314=\pi r^2$

$314=3.14\times r^2$

$r^2=\frac{314}{3.14}$

$r^2=100$

$r=10$

The diameter is $d=2r=2(10)=20$

The side of a square is 20 cm.

Perimeter of the square is $P=4\times side$

$P=4\times 20$

$P=80\ cm$

Therefore, the perimeter of the square is 80 cm.

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