smartmuffin72
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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​

Respuesta :

the radius of the largest tabletop that could be cut is 0.6 m .

Step-by-step explanation:

Here we have , A circular tabletop is to be cut from a rectangular piece of wood that measures 1.20 m by 1.80 m. We need to find What is the radius of the largest tabletop that could be cut. Let's find out:

We know that For a circle to be completely inscribed in a rectangle , It's diameter must be equal to it's Length . Now , According to question we have following parameters as :

[tex]Length = 1.2\\Breadth=1.8[/tex]

So , Diameter of circle :

⇒ [tex]Diameter = Length = 1.2m[/tex]

Now , We know that

⇒ [tex]Diameter =2(radius) = 1.2m[/tex]

⇒ [tex]radius = \frac{1.2}{2}[/tex]

⇒ [tex]radius =0.6m[/tex]

Therefore ,  the radius of the largest tabletop that could be cut is 0.6 m .

Ver imagen jacknjill
MrRoyal

The radius of the tabletop is the distance from the center to its circumference

The largest radius of the circular tabletop is 0.6 meters

The dimension of the rectangular piece of wood is given as:

Length = 1.20 m

Width = 1.80 m

From the given dimension, we have the following observation:

The length of the rectangular piece is smaller than its width.

This means that:

[tex]\mathbf{Diameter = Length}[/tex]

Substitute 1.20 m for Length

[tex]\mathbf{Diameter = 1.20 m}[/tex]

Divide both sides of the equation by 2 to calculate the radius

[tex]\mathbf{\frac{Diameter}2 = \frac{1.20 m}{2}}[/tex]

Simplify

[tex]\mathbf{Radius = 0.60 m}[/tex]

Hence, the largest radius of the tabletop is 0.6 meters

Read more about radius at:

https://brainly.com/question/1486933

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