Question

A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet ?​

Answer 1

$\huge{\mathcal{\underline\red{Question}}}$

A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet ?

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$\huge\boxed{\blue{Given :}}$

➣ Side of the Square Piece of an aluminium sheet = 6 cm

➣ A circle is cutted from the square piece of an aluminium sheet

➣ Radius of the Circle = 2 cm

$\huge\boxed{\red{To \: Find :}}$

➣ Area of the Left Over aluminium Sheet

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➪ Area of Square = (side)²

⇒ Area of Square = (6)²

⇒Area of Square = 36 cm²

$\:$

➦ Area of the Square Piece of an Aluminium sheet = 36 cm²

$➪ Area \: of \: Circle = \: \pi {r}^{2}$

➦ Take value of π = 3.14

⇒ Area of Circle = 3.14 × 2 × 2

⇒ Area of Circle = 12.56 cm²

$\:$

➪ Left over area of the Sheet = Area of Square- Area of Circle

⇒Left over area of the Circle= 36cm² - 12.56 cm²

⇒Left over area of the Circle = 23.44 cm²

➦ So, the area of the left over Aluminium sheet is 23.44 cm²

Answer 2

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