Math, asked by RahulTeja1427, 11 months ago

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

Answers

Answered by brainyboy88
13
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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Answered by nairaryaashok01
1

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.

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