Question

the area of a circle is 220cm.find the area of a square inscribed in the circle​

Answer 1

Answer:

area of the circle is 220 means 3.14*r2 . then area o fthe square is area of the circle divided by 3.14. that means area of the square is 70. Area of a circle = 220=> Πr² = 220=> 22/7 r² = 220=> 1/7 r² = 10=> r² = 10×7=> r² = 70=> r = √70. follow me ✌️ samile

Answer 2

Step-by-step explanation:

The area of a circle is 220 cm2.

To find the area of a square inscribed.

The area of a circle of radius r is,

= πr^2

By substituting the value of the area of the circle,

220 = πr^2

By substituting the value of π, we get

r = sqrt{ 70 } = 8.36 c.m

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle.

diagonal = 2r

= 2 × 8.36 = 16.73

The side of a square in terms of its diagonal is given by,

side of square = diagonal ÷ sqrt{ 2 } .......... ( 1 )

By substituting the value diagonal in the above equation,

side of square = 16.73 ÷ sqrt{ 2 }

By simplifying further, we get

side of square = 11.82

The area of a square is the square of its side.

Area of the square = ( side )^2

    

    = ( 11.82 )^2 = 139.71 cm^2

    

Thus, the area of the square inscribed in a circle is 139.71 cm^2

OR Nearly equal to 140 cm^2 .