Answer
Verified
465.6k+ views
Hint: Here we will find the area of the leftover aluminum sheet by subtracting the area of the square shaped aluminum sheet from the area of the cut out circle.
Complete step-by-step answer:
Here the radius of the circle is 2 cm. Therefore area of the circle ${A_1} = \pi {r^2} = 3.14 \times {(2)^2} = 3.14 \times 4 = 12.56{\text{ c}}{{\text{m}}^2}$
Now, side of the aluminum sheet, $a = 6$cm
Therefore, area of the square shaped aluminum sheet,
${A_2} = {a^2} = {6^2} = 36{\text{ c}}{{\text{m}}^2}$
Hence the area of the leftover aluminum sheet
$ \Rightarrow {A_2} - {A_1} = 36 - 12.56 = 23.44{\text{ c}}{{\text{m}}^2}$
Area of leftover sheet = 23.44 $cm^2$.
Note: This is the basic question on mensuration, first we have to find the area separately and then subtract the area which is cut down to find the leftover area.
Complete step-by-step answer:
Here the radius of the circle is 2 cm. Therefore area of the circle ${A_1} = \pi {r^2} = 3.14 \times {(2)^2} = 3.14 \times 4 = 12.56{\text{ c}}{{\text{m}}^2}$
Now, side of the aluminum sheet, $a = 6$cm
Therefore, area of the square shaped aluminum sheet,
${A_2} = {a^2} = {6^2} = 36{\text{ c}}{{\text{m}}^2}$
Hence the area of the leftover aluminum sheet
$ \Rightarrow {A_2} - {A_1} = 36 - 12.56 = 23.44{\text{ c}}{{\text{m}}^2}$
Area of leftover sheet = 23.44 $cm^2$.
Note: This is the basic question on mensuration, first we have to find the area separately and then subtract the area which is cut down to find the leftover area.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
A group of fish is known as class 7 english CBSE
The highest dam in India is A Bhakra dam B Tehri dam class 10 social science CBSE
Write all prime numbers between 80 and 100 class 8 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Onam is the main festival of which state A Karnataka class 7 social science CBSE
Who administers the oath of office to the President class 10 social science CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Kolkata port is situated on the banks of river A Ganga class 9 social science CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE