Question

The area of a circle is 220 cm2, then the area of the square inscribed in the circle is

Answer 1

R^2=70
Side of square=a
2a^2=4R^2
a^2=2R^2
Area of square=140

Answer 2

Answer:

The area of square is 140 cm².

Step-by-step explanation:

It is given that the area of a circle is 220 cm².

$A=\pi r^2$

$220=\frac{22}{7}\times r^2$

$r^2=70$

$r=\sqrt{70}$

The diameter of circle is

$2r=2\sqrt{70}$

The diameter of the circle is diagonal of square. Let the side of square be a.

Using Pythagoras theorem

$a^2+a^2=d^2$

$2a^2=(2\sqrt{70})^2$

$2a^2=4\times 70$

$a^2=2\times 70$

$a^2=140$

The area of square is a², therefore the area of square is 140 cm².