Question

A circular tabletop is to be cut from a rectangular piece

Answer 1

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 :

$Length = 1.2\\Breadth=1.8$

So , Diameter of circle :

⇒ $Diameter = Length = 1.2m$

Now , We know that

⇒ $Diameter =2(radius) = 1.2m$

⇒ $radius = \frac{1.2}{2}$

⇒ $radius =0.6m$

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

Answer 2

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

Explanation:

Given:

Length of the rectangular piece, l = 1.2m

Breadth of the rectangular piece, b = 1.8m

Radius of the largest tabletop, r = ?

From the rectangular piece, the circular tabletop can be cut to a maximum radius of half of the length of the rectangular piece or the maximum diameter can be the smallest side length.

Thus,

Radius of the circle = l/2 m

r = 1.2 / 2 m

r = 0.6 m

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