Math, asked by prahladkushwaha336, 5 months ago

9. There are two wires each of length 88 cm. One
is bent to form a square and the other is bent to
form a circle. Find which one of them has more
22.
area. Take t =
2
7

Answers

Answered by Anonymous

The circle occupies more area than the square.

Given

To Find

Solution

Perimeter of the square = Length of the wire

Perimeter of the square = 88cm

Perimeter of a square = 4 × side

88cm = 4 × side

88cm/4 = side

22cm = side

Area of a square = side × side

Area of the square = 22cm × 22cm

Area of the square = 484cm²

Area of the square is 484cm²

Perimeter of the circle = Length of the wire

Perimeter of the square = 88cm

Perimeter of a circle = 2πr

⟹ 88cm = 2 × 22/7 × r

⟹ 88cm/2 = 22/7 × r

⟹ 44cm = 22/7 × r

⟹ 44cm × 7/22 = r

⟹ 14cm = r

Radius of the circle is 14cm

Area of a circle = πr²

Area of the circle = π( 14cm )²

Area of the circle = π × 196cm²

Area of the circle = 22/7 × 196cm²

Area of the circle = 616cm²

Area of the circle is 616cm²

616cm² > 484cm²

So, The circle has more area than the square.

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