Question

The area of circle is 220 cm sq..Find the area of square whose vertices are on the circle plzzz answer kisi ke ander dum ho too

Answer 1

πr²=220
r=√70 cm

diagonal of square=2√70 cm
by Pythagoras theorem,
a²+a²=(2√70)²
2a²=4*70
a²= 2*70


therefore, area of the square whose vertices are on the circle= 140 cm²

Answer 2

Answer:

Area of the square whose vertices are on the circle= 140 cm².

Step-by-step explanation:

Given : The area of circle is 220 cm sq.

To find : The area of square whose vertices are on the circle?

Solution :

Area of the circle = 220 cm.sq.

$\pi r^2=220$

$r^2=70$

$r=\sqrt{70}$

The radius of the circle is half the diagonal of the square.

Diagonal of square $D=2\sqrt{70}$

Applying the Pythagoras theorem,

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

$2a^2=4\times 70$

$a^2=140$

$a=\sqrt{140}$

Side of the square is $a=\sqrt{140}$

Area of the square is

$A=a^2$

$A=(\sqrt{140})^2$

$A=140 cm^2$

Therefore, Area of the square whose vertices are on the circle= 140 cm².