Question

Find the area of a square inscribed in a circle of area 440 sq.cm.

Answer 1

Circle ⭕️ is 440

So, r of circle = s of square.
22/7 x r^2 = 440
r^2 = 440 x 7/22
R^2 = 140

Area of square = 140 (s^2 )
S = root of 140
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Answer 2

Answer:

The area of a square inscribed in a circle of area 440 cm² is 140.127cm².

Step-by-step explanation:

Given:
The area of the circle=440cm²

To find:

The area of sqaure=?

Solution:
The area of the circle is given by,

$A=\pi r^{2}$

440=3.14r²

∴$r^{2}=\frac{440}{3.14}$

∴$r^{2}=140.127$

∴$r=\sqrt{140.127}$

∴r=11.83cm

Since the square is inscribed in a circle, the radius is equal to the side of the square.

The area of the square is given by,

$A=Side^{2}$

∴ A=r²

∴ A=140.127cm²

Thus, the area of a square inscribed in a circle of area 440 cm² is 140.127cm².