Question

A circle of radius 3cm is cut out from a square piece of aluminium sheet of
side 7cm. What is the area of left over aluminium sheet? (Take = 3.14)

Answer 1

Answer:

Area of the left over part $=20.74cm^{2}$ .

Step-by-step explanation:

A circle of radius $3\ cm$ is cut out from a square piece of aluminum sheet of side $7cm$ , we were asked to find the area of the left over aluminum sheet.

It is easy to calculate. First of all find the area of the square.

A circle cut out from it means the area of that circle become removed from the square. So the difference between the area of the square and the area of the  circle is the area of the remaining part of the sheet.

Therefore , area of the square $=side^{2} =7^{2} cm^{2} =49cm^{2}$

Area of the circle $=\pi r^{2} =(3.14)(3^{2} )=3.14*9=28.26 cm^{2}$ (r is the radius of the circle)

Thus area of the left over part $=$ area of square $-$ area of circle .

                                                  $=49-28.26=20.74cm^{2}$ .

Hence the answer.

thank you

Answer 2

20.74cm²

Step by Step

Area of square = side × side

=7×7 = 49cm²

Area of circle = 22/7 × R

=3.14 × 3×3 = 28.26 cm²

Area of leftover = area of square - area of circle

= 49 cm² - 28.26 cm²

=20.74 cm²