Question

A circular tabletop is to be cut from a rectangular piece

of wood that measures 1.20 m by 1.80 m.
What is the radius of the largest tabletop that could be cut?
Justify your answer. Include a sketch​

Answer 1

The largest table top that could be cut in the given rectangle piece is 0.6 meters, If the given rectangular piece is 1.20 m by 1.80 m.

Explanation:

The given is,

Rectangular piece of wood that measures 1.20 m by 1.80 m.

Step:1

For the circular table top, from the rectangular piece. We consider the dimensions of the rectangular.

The circle from the rectangular,

Ref the attachment,

Minimum dimension of rectangle = Diameter of circle

From the given dimensions,

1.20 m = Diameter of circle

d = 1.20 m

Step:2

Conversion of diameter to radius,

`Radius, r = (d)/(2)`

`= (1.20)/(2)`

`=0.6`

Radius of circle table top, r = 0.6 meters

Result:

The largest table top that could be cut in the given rectangle piece is 0.6 meters, If the given rectangular piece is 1.20 m by 1.80 m.