Question

In the given figure, what is the ratio of the area of the square to the circle ? (Take π=227)

1. π :4
2. π :4
1
:
π
π
:
5
2
:
π
​

Answer 1

Answer:

In the given figure, what is the ratio of the area of the square to the circle ? (Take π=227)

1. π :4

2. π :4

1

:

π

π

:

5

2

:

π

Answer 2

Given :- In the given figure, what is the ratio of the area of the square to the circle ? (Take π = 22/7)

1. π : 2

2. π : 4

3. 5 : π

4. 2 : π

Solution :-

Let us assume that, sides of square are a unit .

then,

• Diagonal of square = √2 * side = √2a unit.

now,

• Diameter of circle = Diagonal of square = √2a unit.
• Radius of circle = (√2a/2) unit .

So,

→ Area of square : Area of circle = (side)² : π * (radius)²

→ Area of square : Area of circle = (a)² : π * {(√2a/2)}²

→ Area of square : Area of circle = a² : π * (2a²/4)

→ Area of square : Area of circle = a² : π(a²/2)

→ Area of square : Area of circle = 2a² : π * a²

→ Area of square : Area of circle = 2 : π . (Ans.)

Hence, Ratio of Area of square to the Area of circle is 2 : π .

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