Question

What is the area of the biggest circle that can be cut off from a piece of cartolina 40 cm long and 30 cm wide?



plss someone answer and explanation

Answer 1

We have a piece of Cartolina of 40cm in length and 30cm in width

(A rectangular Piece of Cartolina)

The biggest circle that can be cut off from this piece is of diameter = the shortest dimension of piece (i.e. width of rectangular piece)

(if we take diameter of circle more than the shortest dimension of piece, the circle will not be completely covered by cartolina)

Please refer to attachment for better understanding

Diameter of circle = width of piece = 30 cm

=> Radius of circle = diameter/2 = 30/2

Radius of biggest circle, r = 15 cm

Thus area of biggest circle = $\pi r^2$

= 3.14 * (15)²

= 3.14 * 225

= 706.5 cm²

Thus area of biggest circle that can be cut off from a piece of cartolina 40 cm long and 30 cm wide is 706.5 cm².

Answer 2

Answer:

We have a piece of Cartolina of 40cm in length and 30cm in width

(A rectangular Piece of Cartolina)

The biggest circle that can be cut off from this piece is of diameter = the shortest dimension of piece (i.e. width of rectangular piece)

(if we take diameter of circle more than the shortest dimension of piece, the circle will not be completely covered by cartolina)

Please refer to attachment for better understanding

Diameter of circle = width of piece = 30 cm

=> Radius of circle = diameter/2 = 30/2

Radius of biggest circle, r = 15 cm

Thus area of biggest circle = \pi r^2πr

2

= 3.14 * (15)²

= 3.14 * 225

= 706.5 cm²

Thus area of biggest circle that can be cut off from a piece of cartolina 40 cm long and 30 cm wide is 706.5 cm².