Question

Anjum cuts a circle of radius 10 cm from a piece of square colored paper with a 30 cm side. Find the area of the remaining paper? (π= 3.14)

Answer 1

Given :-

• radius of the circle = 10 cm
• side of the square = 30 cm

To Find :-

• area of the remaining paper ?

Solution :-

we know that,

$\boxed{ \bold{area \: of \: square = {side}^{2} }}$

$\bold{: \implies 30cm \times 30cm} \\ \\ \bold{: \implies 900 \: {cm}^{2} } \: \: \: \: \: \: \: \: \: \: \:$

so, area of square coloured paper is 900 cm²

now,

$\boxed{ \bold{area \: of \: circle = \pi {r}^{2} }}$

$\bold{: \implies \frac{22}{7} \times 10 \times 10} \\ \\ \bold{: \implies \frac{2200}{7} {cm}^{2} } \: \: \: \: \: \: \:$

so, area of circle which cut from the square coloured pare is 2200/7 cm²

now,

area of the remaining paper = area of square - area of circle

$\bold{: \implies 900 - \frac{2200}{7} } \\ \\ \bold{: \implies \frac{6300 - 2200}{7} } \\ \\ \bold{ : \implies \cancel \frac{4100}{7} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies 585.71 \: {cm}^{2} } \: \:$

hence, area of remaining paper is 585.71 cm² or 4100/7 cm²

Answer 2

Given:

Radius of the circle ,r = 10 cm

side of square colored paper = 30 cm

To Find:

Area of the remaining paper ?

Solution :

We know that,Area of circle,A1 = πr²

A1 = 3.14 × 10²

[π = 3.14]

A1 = 3.14 × 100

A1 = 314 cm²

We know that, area of square colored paper,A2 = side × side

A2 = 30 × 30

A2 = 900 cm²

Area of the remaining paper,A = Area of square - Area of circle

A = A2 - A1

A = 900 - 314

A = 586 cm²

Hence, the area of remaining paper is 586 cm².

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