Question

the circumference of a circle is 220 cm.calculate the area of the square,which is cut from the circle?


plz answer this question ​

Answer 1

Answer:

Step-by-step explanation:It is given that the perimeter ( or circumference ) of the circle is 220 cm.

From the properties of circle, We know : -

• Circumference of circle = 2πr, where r is the radius of the circle.

Now, comparing the circumference of the circle with the formula given above,

= > 2πr = 220 cm

On onbserving ( the diagram ), we get :

Diameter is same is the diagonal of the square.

Therefore,

Diagonal of square = Diameter of circle

Diagonal of square = 2 x radius = 2 x 35 cm = 70 cm

Now,

Let the side of the square be a cm,

By Pythagoras Theorem :

= > ( side )² + ( side )² = ( diagonal )²

= > a² + a² = ( 70 cm )²

= > 2a² = 4900 cm²

= > a² = 2450 cm²

Now,

a² = 2450 cm² = ( side )² = Area of square.

Therefore,

Area of the square is 2450 cm^2

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Answer 2

Step-by-step explanation:

2 × 22/7 × r = 220

r = 220 × 7 / 44

r = 35 cm

Area of Square = S × S

= 35 × 35

= 1225 cm^2

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