If a circle of radius 2 cm is cut out from a square piece of an aluminium sheet of sides, 6 cm, then the area of the leftover aluminium sheet, taking is ____ sq. cm.

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Detailed Solution

Concept: 23.44 sq.cm. is the area of leftover aluminium sheet.
Area of a square of base “a” = a2,
And area of a circle of radius “r” =

To solve this question, we will have to find out the area of the aluminium sheet and the area of the circular cut made on it with the data provided in the question itself, and subtract the areas to obtain our final answer.
Given, square piece of an aluminium sheet of sides, 6 cm, i.e. ,
Area of the aluminium sheet =

sq. cm.
Also given that, circle of radius 2 cm is cut out from the aluminium sheet, i.e. ,
Area of the cut-out =
Question Image

Therefore, area of the leftover aluminium sheet = (36 – 12. 56) sq. cm.
= 23. 44 sq. cm.
Hence, the Correct Answer is 23. 44 sq. cm.

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